[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"term-casino-baccarat-en":3,"related-baccarat-en":48,"mdc-f2hjyg-key":53},{"id":4,"slug":5,"status":6,"section":7,"category":8,"difficulty":9,"aliases":10,"related_terms":16,"related_calculators":21,"term":24,"definition":25,"content":26,"example":27,"faq":28,"availableLocales":41},"c7547df6-06e3-4c57-8678-d0de0f7fb5a8","baccarat","published","casino","table-games","beginner",[11,12,13,14,15],"punto banco","chemin de fer","baccara","mini baccarat","midi baccarat",[17,18,19,20],"house-edge","expected-value","bankroll-management","variance",[22,22,23],"\u002Fcasino\u002Fhouse-edge-calculator","\u002Fcasino\u002Fbankroll-calculator","Baccarat","Baccarat is a comparing card game where players bet on which of two hands—Player or Banker—will total closest to 9, or whether they'll tie. Cards 2-9 count at face value, 10s and face cards count as 0, aces as 1. Totals above 9 drop the first digit (15 becomes 5). The Banker bet offers the lowest house edge (1.06%), making baccarat one of the mathematically best games in any casino.","# Baccarat\n\n**Baccarat** is the simplest table game in the casino with the best odds. No decisions affect the outcome—you simply bet on Player, Banker, or Tie, and fixed rules determine whether each hand draws a third card. This simplicity, combined with a house edge under 1.1% on Banker bets, makes baccarat the game of choice for high rollers worldwide. The game generates more revenue in Macau than all other table games combined.\n\n## Table of Contents\n\n- [How Baccarat Works](#how-it-works)\n- [Card Values and Scoring](#card-values)\n- [The Three Bets](#betting-options)\n- [Third Card Rules](#third-card)\n- [Baccarat Math](#math)\n- [Baccarat Variants](#variants)\n- [Strategy and Myths](#strategy)\n- [Baccarat vs Other Games](#comparison)\n\n## How Baccarat Works {#how-it-works}\n\n### The Basic Process\n\n1. **Bet placement:** Choose Player, Banker, or Tie before cards are dealt\n2. **Initial deal:** Two cards each to Player and Banker positions\n3. **Third card rules:** Fixed rules determine if either hand draws\n4. **Comparison:** Hand closest to 9 wins\n5. **Settlement:** Winning bets paid according to odds\n\n### Hand Positions\n\n| Position | Meaning |\n|----------|---------|\n| Player | One of two competing hands (not \"your\" hand) |\n| Banker | The other competing hand (not the house) |\n| Tie | Both hands equal |\n\n**Important:** \"Player\" and \"Banker\" are just names for the two hands. You can bet on either regardless of which side you prefer.\n\n### Betting Flow\n\n| Phase | Action |\n|-------|--------|\n| Betting open | Place chips on Player, Banker, or Tie |\n| Cards dealt | Dealer handles everything |\n| Result | Automatic - no player decisions |\n| Payout | Winners paid, losers collected |\n\n## Card Values and Scoring {#card-values}\n\n### Card Point Values\n\n| Card | Value |\n|------|-------|\n| 2-9 | Face value |\n| 10, J, Q, K | 0 points |\n| Ace | 1 point |\n\n### Calculating Hand Totals\n\n```math\n\\text{Hand Value} = (\\text{Sum of Cards}) \\mod 10\n```\n\nOnly the rightmost digit counts. If cards total more than 9, drop the tens digit:\n\n| Cards | Sum | Hand Value |\n|-------|-----|------------|\n| 7 + 2 | 9 | 9 (Natural) |\n| K + 5 | 5 | 5 |\n| 8 + 7 | 15 | 5 |\n| 9 + 9 | 18 | 8 |\n| 6 + 4 + 9 | 19 | 9 |\n\n### Natural Hands\n\n| Total | Name | Result |\n|-------|------|--------|\n| 8 or 9 | Natural | No more cards drawn |\n| Natural vs Natural | Comparison | Higher natural wins |\n| Equal Naturals | Tie | Tie bets win |\n\nA natural 9 beats a natural 8. Both beat any non-natural hand.\n\n## The Three Bets {#betting-options}\n\n### Banker Bet\n\n| Metric | Value |\n|--------|-------|\n| Payout | 0.95:1 (5% commission) |\n| House edge | 1.06% |\n| Win probability | 45.86% |\n| Tie probability | 9.52% |\n\n**Why 5% commission?** Without it, Banker would have a player edge. The commission ensures the house maintains advantage.\n\n### Player Bet\n\n| Metric | Value |\n|--------|-------|\n| Payout | 1:1 (even money) |\n| House edge | 1.24% |\n| Win probability | 44.62% |\n| Tie probability | 9.52% |\n\nNo commission, but slightly worse odds than Banker.\n\n### Tie Bet\n\n| Metric | Value |\n|--------|-------|\n| Payout | 8:1 (sometimes 9:1) |\n| House edge | 14.36% (8:1) \u002F 4.84% (9:1) |\n| Probability | 9.52% |\n\n**Never bet Tie.** Even at 9:1 payout, it's mathematically inferior to Banker or Player.\n\n### Bet Comparison Table\n\n| Bet | House Edge | EV per $100 | Recommendation |\n|-----|------------|-------------|----------------|\n| Banker | 1.06% | -$1.06 | Best bet |\n| Player | 1.24% | -$1.24 | Second best |\n| Tie (8:1) | 14.36% | -$14.36 | Avoid |\n| Tie (9:1) | 4.84% | -$4.84 | Still avoid |\n\n## Third Card Rules {#third-card}\n\n### Player Third Card Rule\n\n| Player Total | Action |\n|--------------|--------|\n| 0-5 | Draws third card |\n| 6-7 | Stands |\n| 8-9 | Natural - stands |\n\nSimple rule: Player draws on 0-5, stands on 6-7.\n\n### Banker Third Card Rules\n\nBanker's action depends on Player's third card:\n\n| Banker Total | Draws When Player's Third Card Is | Stands When |\n|--------------|-----------------------------------|-------------|\n| 0-2 | Always draws | Never |\n| 3 | 0-7, 9 | 8 |\n| 4 | 2-7 | 0, 1, 8, 9 |\n| 5 | 4-7 | 0-3, 8, 9 |\n| 6 | 6-7 | 0-5, 8, 9 |\n| 7 | Never | Always |\n\n**You don't need to memorize this.** The dealer handles all decisions automatically.\n\n### Why Banker Has an Edge\n\nThe Banker rules are designed to respond to Player's third card:\n\n```math\nP(\\text{Banker wins}) = 0.4586 > P(\\text{Player wins}) = 0.4462\n```\n\nThis 1.24% advantage for Banker is why casinos charge 5% commission.\n\n## Baccarat Math {#math}\n\n### Expected Value Calculations\n\n```math\n\\text{EV (Banker)} = (0.4586 \\times 0.95) + (0.4462 \\times -1) + (0.0952 \\times 0) = -0.0106\n```\n\n```math\n\\text{EV (Player)} = (0.4462 \\times 1) + (0.4586 \\times -1) + (0.0952 \\times 0) = -0.0124\n```\n\n```math\n\\text{EV (Tie 8:1)} = (0.0952 \\times 8) + (0.9048 \\times -1) = -0.1436\n```\n\n### Probability Distribution\n\n| Outcome | Probability | Cumulative |\n|---------|-------------|------------|\n| Banker wins | 45.86% | 45.86% |\n| Player wins | 44.62% | 90.48% |\n| Tie | 9.52% | 100% |\n\n### Long-Term Cost\n\n| Total Wagered | Banker Loss | Player Loss | Tie Loss |\n|---------------|-------------|-------------|----------|\n| $1,000 | $10.60 | $12.40 | $143.60 |\n| $10,000 | $106 | $124 | $1,436 |\n| $100,000 | $1,060 | $1,240 | $14,360 |\n\n### Variance and Standard Deviation\n\n```math\n\\sigma_{\\text{Banker}} \\approx 0.93 \\text{ per unit bet}\n```\n\n```math\n\\sigma_{\\text{Player}} \\approx 0.95 \\text{ per unit bet}\n```\n\nBaccarat has relatively low variance compared to slots, making results more predictable.\n\n### Calculating Commission Impact\n\n```math\n\\text{No-Commission Banker EV} = (0.4586 \\times 1) - (0.4462 \\times 1) = +0.0124\n```\n\nWithout commission, Banker would have 1.24% player edge—hence the 5% tax on wins.\n\n## Baccarat Variants {#variants}\n\n### Mini Baccarat\n\n| Feature | Mini Baccarat | Full Baccarat |\n|---------|---------------|---------------|\n| Table size | Small (7 players) | Large (14 players) |\n| Dealer | One, handles all | Three dealers |\n| Speed | Fast (200+ hands\u002Fhr) | Slow (40-60 hands\u002Fhr) |\n| Minimums | $10-25 | $100-500+ |\n| Card handling | Dealer only | Players may touch |\n| House edge | Same | Same |\n\nMini baccarat has identical odds but faster pace—higher hourly loss rate.\n\n### Midi Baccarat\n\nMiddle ground between mini and full baccarat:\n- 9 player positions\n- Players can touch cards on highest bet\n- Moderate pace\n- Medium minimums\n\n### Chemin de Fer\n\n| Feature | Detail |\n|---------|--------|\n| Banking | Players take turns as Banker |\n| Decisions | Players can choose to draw |\n| Commission | 5% on Banker wins |\n| House role | Facilitator only |\n| Common in | European casinos |\n\nPlayer decisions make Chemin de Fer slightly different mathematically.\n\n### EZ Baccarat\n\n| Feature | Detail |\n|---------|--------|\n| Commission | None |\n| Dragon 7 | Banker wins with 3-card 7 = push |\n| Panda 8 | Side bet on Player 3-card 8 |\n| House edge | 1.02% (Banker), 1.24% (Player) |\n\nEliminates commission but Banker pushes on specific outcomes.\n\n### Speed Baccarat\n\n| Feature | Detail |\n|---------|--------|\n| Betting time | 10-12 seconds |\n| Hands per hour | 120-180 |\n| Cards | Face-up immediately |\n| Best for | Experienced players |\n\n### Live Dealer Squeeze\n\n| Feature | Detail |\n|---------|--------|\n| Card reveal | Dramatic slow reveal |\n| Interaction | Chat with dealer |\n| Pace | Slower for suspense |\n| Appeal | Entertainment value |\n\n## Strategy and Myths {#strategy}\n\n### The Only Real Strategy\n\n| Strategy | Recommendation |\n|----------|----------------|\n| Always bet Banker | Best mathematical approach |\n| Never bet Tie | 14% edge is unacceptable |\n| Ignore patterns | Previous results don't predict future |\n| Manage bankroll | Set loss limits, stick to them |\n\n### Scorecard Myths\n\n| Myth | Reality |\n|------|---------|\n| \"Banker streak continues\" | Each hand independent, 45.86% always |\n| \"Player due after losses\" | Gambler's fallacy - no memory |\n| \"Patterns predict outcomes\" | Random results show apparent patterns |\n| \"Choppy tables favor Player\" | No predictive value |\n\n### Betting Systems Analysis\n\n| System | Short-Term | Long-Term | House Edge |\n|--------|------------|-----------|------------|\n| Martingale | Frequent small wins | Rare catastrophic loss | Unchanged |\n| Paroli | Ride winning streaks | Same expected loss | Unchanged |\n| Flat betting | Steady | Steady loss | Unchanged |\n| Card counting | Minimal edge | Not worth effort | ~0.01% improvement |\n\n### Card Counting in Baccarat\n\n```math\n\\text{Maximum Edge from Counting} \\approx 0.15\\%\n```\n\nUnlike blackjack's 1-2% edge, baccarat counting provides negligible advantage:\n\n| Factor | Blackjack | Baccarat |\n|--------|-----------|----------|\n| Potential edge | 0.5-2% | 0.01-0.15% |\n| Bet variance needed | 1-12x | Extreme |\n| Practical? | Yes | No |\n| Casino tolerance | Low | Doesn't matter |\n\n### Edge Sorting (Historical)\n\nPhil Ivey famously won millions using edge sorting:\n- Identified asymmetrical card backs\n- Requested specific shuffling procedures\n- Courts ruled this violated casino rules\n- Modern casinos prevent with better cards and procedures\n\n## Baccarat vs Other Games {#comparison}\n\n### House Edge Comparison\n\n| Game | House Edge | Skill Required |\n|------|------------|----------------|\n| Baccarat (Banker) | 1.06% | None |\n| Blackjack (basic strategy) | 0.5% | Medium |\n| Craps (pass\u002Fdon't pass) | 1.41% | None |\n| Roulette (European) | 2.70% | None |\n| Slots | 2-15% | None |\n\n### Why High Rollers Choose Baccarat\n\n| Factor | Advantage |\n|--------|-----------|\n| Low house edge | Minimizes long-term loss |\n| No decisions | Can't make mistakes |\n| High limits | Casinos accommodate large bets |\n| Fast resolution | Clear win\u002Floss each hand |\n| Superstition friendly | Ritual doesn't hurt odds |\n\n### Expected Hourly Loss\n\n| Game | Hands\u002FHour | Avg Bet | Hourly Loss |\n|------|------------|---------|-------------|\n| Mini Baccarat | 200 | $100 | $212 |\n| Full Baccarat | 50 | $500 | $265 |\n| Blackjack | 80 | $100 | $40 |\n| Roulette | 40 | $100 | $108 |\n\nDespite low edge, mini baccarat's speed increases hourly losses.\n\n## Online vs Land-Based {#online}\n\n### RNG Baccarat\n\n| Factor | Detail |\n|--------|--------|\n| Speed | Very fast (60+ hands\u002Fhour solo) |\n| Minimums | $0.10-1 |\n| RTP | Same (house edge identical) |\n| Fairness | Certified RNG, audited |\n| Experience | Less atmosphere |\n\n### Live Dealer Baccarat\n\n| Factor | Detail |\n|--------|--------|\n| Speed | Moderate (40-60 hands\u002Fhour) |\n| Minimums | $1-5 typically |\n| Dealers | Real humans, streamed |\n| Squeeze options | Available at premium tables |\n| Social | Chat with dealers\u002Fplayers |\n\n### Table Selection\n\n| Priority | Best Choice |\n|----------|-------------|\n| Lowest house edge | Standard Banker bet |\n| Entertainment | Live dealer with squeeze |\n| Learning | Free play RNG |\n| High stakes | VIP live tables |\n| Fast play | RNG or speed baccarat |\n\n## Bankroll Management {#bankroll}\n\n### Session Bankroll\n\n```math\n\\text{Session Length} = \\frac{\\text{Bankroll}}{\\text{Bet Size} \\times 1.5}\n```\n\n| Bankroll | Bet Size | Expected Hands |\n|----------|----------|----------------|\n| $500 | $25 | ~13 hands |\n| $1,000 | $50 | ~13 hands |\n| $5,000 | $100 | ~33 hands |\n\n### Win\u002FLoss Limits\n\n| Limit Type | Recommendation |\n|------------|----------------|\n| Loss limit | 50% of session bankroll |\n| Win goal | 30-50% profit |\n| Time limit | Set before playing |\n| Stop-loss | Walk away when reached |\n\n### The Commission Factor\n\nRemember: Banker wins require 5% commission tracking.\n\n| Banker Wins | Gross Win | Commission | Net Win |\n|-------------|-----------|------------|---------|\n| 10 × $100 | $1,000 | $50 | $950 |\n| 20 × $100 | $2,000 | $100 | $1,900 |\n\nSome casinos collect commission per hand; others track and collect at table change.\n\n## Related Calculators\n\n- [Baccarat Calculator](\u002Fcasino\u002Fhouse-edge-calculator) - Calculate odds and EV\n- [Baccarat Strategy](\u002Fcasino\u002Fhouse-edge-calculator) - Optimal play guide\n- [Bankroll Calculator](\u002Fcasino\u002Fbankroll-calculator) - Session planning",null,[29,32,35,38],{"answer":30,"question":31},"Banker is mathematically the best bet with a 1.06% house edge, despite the 5% commission on wins. Player has 1.24% house edge. Tie bets should always be avoided—the 14.36% house edge makes them one of the worst bets in any casino game.","What is the best bet in baccarat?",{"answer":33,"question":34},"The third-card drawing rules favor Banker. The Banker hand acts second and its drawing rules are conditional on the Player's third card, giving it a slight statistical advantage. Banker wins 45.86% of hands vs Player's 44.62%, with 9.52% ties.","Why does Banker win more often than Player?",{"answer":36,"question":37},"Barely. Unlike blackjack, baccarat card counting provides minimal edge—typically 0.01% to 0.15% in optimal conditions. The effort required far exceeds potential returns. Edge sorting (identifying asymmetrical card backs) has worked but is legally contested and casinos now prevent it.","Is card counting effective in baccarat?",{"answer":39,"question":40},"No betting system changes the mathematical house edge. Martingale and other progressions only restructure when you lose, not whether you lose. Baccarat's near-even odds make it attractive for systems, but long-term results always reflect the house edge regardless of betting patterns.","Should I use betting systems like Martingale in baccarat?",[42,43,44,45,46,47],"en","ru","pt","tr","es","de",[49],{"slug":17,"section":7,"category":50,"difficulty":27,"term":51,"definition":52},"rtp-variance","House Edge","The mathematical advantage the casino has over players, expressed as a percentage of each bet that the casino expects to keep over time — the built-in profit margin that ensures casinos always win in the long run.",{"data":54,"body":55},{},{"type":56,"children":57},"root",[58,65,76,82,160,166,173,227,233,299,309,315,389,395,401,462,468,689,694,808,814,893,898,904,910,982,992,998,1065,1070,1076,1132,1142,1148,1267,1273,1279,1339,1344,1350,1355,1486,1496,1502,1507,1724,1729,1735,1741,2110,2469,2743,2749,2824,2830,2931,2937,3118,3277,3282,3288,3551,3556,3562,3568,3700,3705,3711,3716,3739,3745,3831,3836,3842,3912,3917,3923,3994,4000,4072,4078,4084,4157,4163,4237,4243,4364,4370,4460,4465,4563,4569,4574,4597,4603,4609,4720,4726,4812,4818,4936,4941,4947,4953,5036,5042,5125,5131,5218,5224,5230,5452,5528,5534,5607,5613,5618,5692,5697,5703],{"type":59,"tag":60,"props":61,"children":62},"element","h2",{"id":5},[63],{"type":64,"value":24},"text",{"type":59,"tag":66,"props":67,"children":68},"p",{},[69,74],{"type":59,"tag":70,"props":71,"children":72},"strong",{},[73],{"type":64,"value":24},{"type":64,"value":75}," is the simplest table game in the casino with the best odds. No decisions affect the outcome—you simply bet on Player, Banker, or Tie, and fixed rules determine whether each hand draws a third card. This simplicity, combined with a house edge under 1.1% on Banker bets, makes baccarat the game of choice for high rollers worldwide. The game generates more revenue in Macau than all other table games combined.",{"type":59,"tag":60,"props":77,"children":79},{"id":78},"table-of-contents",[80],{"type":64,"value":81},"Table of Contents",{"type":59,"tag":83,"props":84,"children":85},"ul",{},[86,97,106,115,124,133,142,151],{"type":59,"tag":87,"props":88,"children":89},"li",{},[90],{"type":59,"tag":91,"props":92,"children":94},"a",{"href":93},"#how-it-works",[95],{"type":64,"value":96},"How Baccarat Works",{"type":59,"tag":87,"props":98,"children":99},{},[100],{"type":59,"tag":91,"props":101,"children":103},{"href":102},"#card-values",[104],{"type":64,"value":105},"Card Values and Scoring",{"type":59,"tag":87,"props":107,"children":108},{},[109],{"type":59,"tag":91,"props":110,"children":112},{"href":111},"#betting-options",[113],{"type":64,"value":114},"The Three Bets",{"type":59,"tag":87,"props":116,"children":117},{},[118],{"type":59,"tag":91,"props":119,"children":121},{"href":120},"#third-card",[122],{"type":64,"value":123},"Third Card Rules",{"type":59,"tag":87,"props":125,"children":126},{},[127],{"type":59,"tag":91,"props":128,"children":130},{"href":129},"#math",[131],{"type":64,"value":132},"Baccarat Math",{"type":59,"tag":87,"props":134,"children":135},{},[136],{"type":59,"tag":91,"props":137,"children":139},{"href":138},"#variants",[140],{"type":64,"value":141},"Baccarat Variants",{"type":59,"tag":87,"props":143,"children":144},{},[145],{"type":59,"tag":91,"props":146,"children":148},{"href":147},"#strategy",[149],{"type":64,"value":150},"Strategy and Myths",{"type":59,"tag":87,"props":152,"children":153},{},[154],{"type":59,"tag":91,"props":155,"children":157},{"href":156},"#comparison",[158],{"type":64,"value":159},"Baccarat vs Other Games",{"type":59,"tag":60,"props":161,"children":163},{"id":162},"how-baccarat-works-how-it-works",[164],{"type":64,"value":165},"How Baccarat Works {#how-it-works}",{"type":59,"tag":167,"props":168,"children":170},"h3",{"id":169},"the-basic-process",[171],{"type":64,"value":172},"The Basic Process",{"type":59,"tag":174,"props":175,"children":176},"ol",{},[177,187,197,207,217],{"type":59,"tag":87,"props":178,"children":179},{},[180,185],{"type":59,"tag":70,"props":181,"children":182},{},[183],{"type":64,"value":184},"Bet placement:",{"type":64,"value":186}," Choose Player, Banker, or Tie before cards are dealt",{"type":59,"tag":87,"props":188,"children":189},{},[190,195],{"type":59,"tag":70,"props":191,"children":192},{},[193],{"type":64,"value":194},"Initial deal:",{"type":64,"value":196}," Two cards each to Player and Banker positions",{"type":59,"tag":87,"props":198,"children":199},{},[200,205],{"type":59,"tag":70,"props":201,"children":202},{},[203],{"type":64,"value":204},"Third card rules:",{"type":64,"value":206}," Fixed rules determine if either hand draws",{"type":59,"tag":87,"props":208,"children":209},{},[210,215],{"type":59,"tag":70,"props":211,"children":212},{},[213],{"type":64,"value":214},"Comparison:",{"type":64,"value":216}," Hand closest to 9 wins",{"type":59,"tag":87,"props":218,"children":219},{},[220,225],{"type":59,"tag":70,"props":221,"children":222},{},[223],{"type":64,"value":224},"Settlement:",{"type":64,"value":226}," Winning bets paid according to odds",{"type":59,"tag":167,"props":228,"children":230},{"id":229},"hand-positions",[231],{"type":64,"value":232},"Hand Positions",{"type":59,"tag":234,"props":235,"children":236},"table",{},[237,255],{"type":59,"tag":238,"props":239,"children":240},"thead",{},[241],{"type":59,"tag":45,"props":242,"children":243},{},[244,250],{"type":59,"tag":245,"props":246,"children":247},"th",{},[248],{"type":64,"value":249},"Position",{"type":59,"tag":245,"props":251,"children":252},{},[253],{"type":64,"value":254},"Meaning",{"type":59,"tag":256,"props":257,"children":258},"tbody",{},[259,273,286],{"type":59,"tag":45,"props":260,"children":261},{},[262,268],{"type":59,"tag":263,"props":264,"children":265},"td",{},[266],{"type":64,"value":267},"Player",{"type":59,"tag":263,"props":269,"children":270},{},[271],{"type":64,"value":272},"One of two competing hands (not \"your\" hand)",{"type":59,"tag":45,"props":274,"children":275},{},[276,281],{"type":59,"tag":263,"props":277,"children":278},{},[279],{"type":64,"value":280},"Banker",{"type":59,"tag":263,"props":282,"children":283},{},[284],{"type":64,"value":285},"The other competing hand (not the house)",{"type":59,"tag":45,"props":287,"children":288},{},[289,294],{"type":59,"tag":263,"props":290,"children":291},{},[292],{"type":64,"value":293},"Tie",{"type":59,"tag":263,"props":295,"children":296},{},[297],{"type":64,"value":298},"Both hands equal",{"type":59,"tag":66,"props":300,"children":301},{},[302,307],{"type":59,"tag":70,"props":303,"children":304},{},[305],{"type":64,"value":306},"Important:",{"type":64,"value":308}," \"Player\" and \"Banker\" are just names for the two hands. You can bet on either regardless of which side you prefer.",{"type":59,"tag":167,"props":310,"children":312},{"id":311},"betting-flow",[313],{"type":64,"value":314},"Betting Flow",{"type":59,"tag":234,"props":316,"children":317},{},[318,334],{"type":59,"tag":238,"props":319,"children":320},{},[321],{"type":59,"tag":45,"props":322,"children":323},{},[324,329],{"type":59,"tag":245,"props":325,"children":326},{},[327],{"type":64,"value":328},"Phase",{"type":59,"tag":245,"props":330,"children":331},{},[332],{"type":64,"value":333},"Action",{"type":59,"tag":256,"props":335,"children":336},{},[337,350,363,376],{"type":59,"tag":45,"props":338,"children":339},{},[340,345],{"type":59,"tag":263,"props":341,"children":342},{},[343],{"type":64,"value":344},"Betting open",{"type":59,"tag":263,"props":346,"children":347},{},[348],{"type":64,"value":349},"Place chips on Player, Banker, or Tie",{"type":59,"tag":45,"props":351,"children":352},{},[353,358],{"type":59,"tag":263,"props":354,"children":355},{},[356],{"type":64,"value":357},"Cards dealt",{"type":59,"tag":263,"props":359,"children":360},{},[361],{"type":64,"value":362},"Dealer handles everything",{"type":59,"tag":45,"props":364,"children":365},{},[366,371],{"type":59,"tag":263,"props":367,"children":368},{},[369],{"type":64,"value":370},"Result",{"type":59,"tag":263,"props":372,"children":373},{},[374],{"type":64,"value":375},"Automatic - no player decisions",{"type":59,"tag":45,"props":377,"children":378},{},[379,384],{"type":59,"tag":263,"props":380,"children":381},{},[382],{"type":64,"value":383},"Payout",{"type":59,"tag":263,"props":385,"children":386},{},[387],{"type":64,"value":388},"Winners paid, losers collected",{"type":59,"tag":60,"props":390,"children":392},{"id":391},"card-values-and-scoring-card-values",[393],{"type":64,"value":394},"Card Values and Scoring {#card-values}",{"type":59,"tag":167,"props":396,"children":398},{"id":397},"card-point-values",[399],{"type":64,"value":400},"Card Point Values",{"type":59,"tag":234,"props":402,"children":403},{},[404,420],{"type":59,"tag":238,"props":405,"children":406},{},[407],{"type":59,"tag":45,"props":408,"children":409},{},[410,415],{"type":59,"tag":245,"props":411,"children":412},{},[413],{"type":64,"value":414},"Card",{"type":59,"tag":245,"props":416,"children":417},{},[418],{"type":64,"value":419},"Value",{"type":59,"tag":256,"props":421,"children":422},{},[423,436,449],{"type":59,"tag":45,"props":424,"children":425},{},[426,431],{"type":59,"tag":263,"props":427,"children":428},{},[429],{"type":64,"value":430},"2-9",{"type":59,"tag":263,"props":432,"children":433},{},[434],{"type":64,"value":435},"Face value",{"type":59,"tag":45,"props":437,"children":438},{},[439,444],{"type":59,"tag":263,"props":440,"children":441},{},[442],{"type":64,"value":443},"10, J, Q, K",{"type":59,"tag":263,"props":445,"children":446},{},[447],{"type":64,"value":448},"0 points",{"type":59,"tag":45,"props":450,"children":451},{},[452,457],{"type":59,"tag":263,"props":453,"children":454},{},[455],{"type":64,"value":456},"Ace",{"type":59,"tag":263,"props":458,"children":459},{},[460],{"type":64,"value":461},"1 point",{"type":59,"tag":167,"props":463,"children":465},{"id":464},"calculating-hand-totals",[466],{"type":64,"value":467},"Calculating Hand Totals",{"type":59,"tag":469,"props":470,"children":473},"span",{"className":471},[472],"katex",[474,570],{"type":59,"tag":469,"props":475,"children":478},{"className":476},[477],"katex-mathml",[479],{"type":59,"tag":480,"props":481,"children":483},"math",{"xmlns":482},"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML",[484],{"type":59,"tag":485,"props":486,"children":487},"semantics",{},[488,563],{"type":59,"tag":489,"props":490,"children":491},"mrow",{},[492,498,504,510,515,520,524,528,548,553,557],{"type":59,"tag":493,"props":494,"children":495},"mtext",{},[496],{"type":64,"value":497},"Hand Value",{"type":59,"tag":499,"props":500,"children":501},"mo",{},[502],{"type":64,"value":503},"=",{"type":59,"tag":499,"props":505,"children":507},{"stretchy":506},"false",[508],{"type":64,"value":509},"(",{"type":59,"tag":493,"props":511,"children":512},{},[513],{"type":64,"value":514},"Sum of Cards",{"type":59,"tag":499,"props":516,"children":517},{"stretchy":506},[518],{"type":64,"value":519},")",{"type":59,"tag":521,"props":522,"children":523},"mspace",{},[],{"type":59,"tag":521,"props":525,"children":527},{"width":526},"0.6667em",[],{"type":59,"tag":489,"props":529,"children":530},{},[531,538,543],{"type":59,"tag":532,"props":533,"children":535},"mi",{"mathvariant":534},"normal",[536],{"type":64,"value":537},"m",{"type":59,"tag":532,"props":539,"children":540},{"mathvariant":534},[541],{"type":64,"value":542},"o",{"type":59,"tag":532,"props":544,"children":545},{"mathvariant":534},[546],{"type":64,"value":547},"d",{"type":59,"tag":493,"props":549,"children":550},{},[551],{"type":64,"value":552}," ",{"type":59,"tag":493,"props":554,"children":555},{},[556],{"type":64,"value":552},{"type":59,"tag":558,"props":559,"children":560},"mn",{},[561],{"type":64,"value":562},"10",{"type":59,"tag":564,"props":565,"children":567},"annotation",{"encoding":566},"application\u002Fx-tex",[568],{"type":64,"value":569},"\\text{Hand Value} = (\\text{Sum of Cards}) \\mod 10\n",{"type":59,"tag":469,"props":571,"children":575},{"className":572,"ariaHidden":574},[573],"katex-html","true",[576,612,652],{"type":59,"tag":469,"props":577,"children":580},{"className":578},[579],"base",[581,587,597,602,608],{"type":59,"tag":469,"props":582,"children":586},{"className":583,"style":585},[584],"strut","height:0.6944em;",[],{"type":59,"tag":469,"props":588,"children":591},{"className":589},[590,64],"mord",[592],{"type":59,"tag":469,"props":593,"children":595},{"className":594},[590],[596],{"type":64,"value":497},{"type":59,"tag":469,"props":598,"children":601},{"className":599,"style":600},[521],"margin-right:0.2778em;",[],{"type":59,"tag":469,"props":603,"children":606},{"className":604},[605],"mrel",[607],{"type":64,"value":503},{"type":59,"tag":469,"props":609,"children":611},{"className":610,"style":600},[521],[],{"type":59,"tag":469,"props":613,"children":615},{"className":614},[579],[616,621,627,636,642,647],{"type":59,"tag":469,"props":617,"children":620},{"className":618,"style":619},[584],"height:1em;vertical-align:-0.25em;",[],{"type":59,"tag":469,"props":622,"children":625},{"className":623},[624],"mopen",[626],{"type":64,"value":509},{"type":59,"tag":469,"props":628,"children":630},{"className":629},[590,64],[631],{"type":59,"tag":469,"props":632,"children":634},{"className":633},[590],[635],{"type":64,"value":514},{"type":59,"tag":469,"props":637,"children":640},{"className":638},[639],"mclose",[641],{"type":64,"value":519},{"type":59,"tag":469,"props":643,"children":646},{"className":644},[521,645],"allowbreak",[],{"type":59,"tag":469,"props":648,"children":651},{"className":649,"style":650},[521],"margin-right:0.6667em;",[],{"type":59,"tag":469,"props":653,"children":655},{"className":654},[579],[656,660,675,680,684],{"type":59,"tag":469,"props":657,"children":659},{"className":658,"style":585},[584],[],{"type":59,"tag":469,"props":661,"children":663},{"className":662},[590],[664],{"type":59,"tag":469,"props":665,"children":667},{"className":666},[590],[668],{"type":59,"tag":469,"props":669,"children":672},{"className":670},[590,671],"mathrm",[673],{"type":64,"value":674},"mod",{"type":59,"tag":469,"props":676,"children":679},{"className":677,"style":678},[521],"margin-right:0.1667em;",[],{"type":59,"tag":469,"props":681,"children":683},{"className":682,"style":678},[521],[],{"type":59,"tag":469,"props":685,"children":687},{"className":686},[590],[688],{"type":64,"value":562},{"type":59,"tag":66,"props":690,"children":691},{},[692],{"type":64,"value":693},"Only the rightmost digit counts. If cards total more than 9, drop the tens digit:",{"type":59,"tag":234,"props":695,"children":696},{},[697,718],{"type":59,"tag":238,"props":698,"children":699},{},[700],{"type":59,"tag":45,"props":701,"children":702},{},[703,708,713],{"type":59,"tag":245,"props":704,"children":705},{},[706],{"type":64,"value":707},"Cards",{"type":59,"tag":245,"props":709,"children":710},{},[711],{"type":64,"value":712},"Sum",{"type":59,"tag":245,"props":714,"children":715},{},[716],{"type":64,"value":717},"Hand Value",{"type":59,"tag":256,"props":719,"children":720},{},[721,739,756,773,791],{"type":59,"tag":45,"props":722,"children":723},{},[724,729,734],{"type":59,"tag":263,"props":725,"children":726},{},[727],{"type":64,"value":728},"7 + 2",{"type":59,"tag":263,"props":730,"children":731},{},[732],{"type":64,"value":733},"9",{"type":59,"tag":263,"props":735,"children":736},{},[737],{"type":64,"value":738},"9 (Natural)",{"type":59,"tag":45,"props":740,"children":741},{},[742,747,752],{"type":59,"tag":263,"props":743,"children":744},{},[745],{"type":64,"value":746},"K + 5",{"type":59,"tag":263,"props":748,"children":749},{},[750],{"type":64,"value":751},"5",{"type":59,"tag":263,"props":753,"children":754},{},[755],{"type":64,"value":751},{"type":59,"tag":45,"props":757,"children":758},{},[759,764,769],{"type":59,"tag":263,"props":760,"children":761},{},[762],{"type":64,"value":763},"8 + 7",{"type":59,"tag":263,"props":765,"children":766},{},[767],{"type":64,"value":768},"15",{"type":59,"tag":263,"props":770,"children":771},{},[772],{"type":64,"value":751},{"type":59,"tag":45,"props":774,"children":775},{},[776,781,786],{"type":59,"tag":263,"props":777,"children":778},{},[779],{"type":64,"value":780},"9 + 9",{"type":59,"tag":263,"props":782,"children":783},{},[784],{"type":64,"value":785},"18",{"type":59,"tag":263,"props":787,"children":788},{},[789],{"type":64,"value":790},"8",{"type":59,"tag":45,"props":792,"children":793},{},[794,799,804],{"type":59,"tag":263,"props":795,"children":796},{},[797],{"type":64,"value":798},"6 + 4 + 9",{"type":59,"tag":263,"props":800,"children":801},{},[802],{"type":64,"value":803},"19",{"type":59,"tag":263,"props":805,"children":806},{},[807],{"type":64,"value":733},{"type":59,"tag":167,"props":809,"children":811},{"id":810},"natural-hands",[812],{"type":64,"value":813},"Natural Hands",{"type":59,"tag":234,"props":815,"children":816},{},[817,837],{"type":59,"tag":238,"props":818,"children":819},{},[820],{"type":59,"tag":45,"props":821,"children":822},{},[823,828,833],{"type":59,"tag":245,"props":824,"children":825},{},[826],{"type":64,"value":827},"Total",{"type":59,"tag":245,"props":829,"children":830},{},[831],{"type":64,"value":832},"Name",{"type":59,"tag":245,"props":834,"children":835},{},[836],{"type":64,"value":370},{"type":59,"tag":256,"props":838,"children":839},{},[840,858,876],{"type":59,"tag":45,"props":841,"children":842},{},[843,848,853],{"type":59,"tag":263,"props":844,"children":845},{},[846],{"type":64,"value":847},"8 or 9",{"type":59,"tag":263,"props":849,"children":850},{},[851],{"type":64,"value":852},"Natural",{"type":59,"tag":263,"props":854,"children":855},{},[856],{"type":64,"value":857},"No more cards drawn",{"type":59,"tag":45,"props":859,"children":860},{},[861,866,871],{"type":59,"tag":263,"props":862,"children":863},{},[864],{"type":64,"value":865},"Natural vs Natural",{"type":59,"tag":263,"props":867,"children":868},{},[869],{"type":64,"value":870},"Comparison",{"type":59,"tag":263,"props":872,"children":873},{},[874],{"type":64,"value":875},"Higher natural wins",{"type":59,"tag":45,"props":877,"children":878},{},[879,884,888],{"type":59,"tag":263,"props":880,"children":881},{},[882],{"type":64,"value":883},"Equal Naturals",{"type":59,"tag":263,"props":885,"children":886},{},[887],{"type":64,"value":293},{"type":59,"tag":263,"props":889,"children":890},{},[891],{"type":64,"value":892},"Tie bets win",{"type":59,"tag":66,"props":894,"children":895},{},[896],{"type":64,"value":897},"A natural 9 beats a natural 8. Both beat any non-natural hand.",{"type":59,"tag":60,"props":899,"children":901},{"id":900},"the-three-bets-betting-options",[902],{"type":64,"value":903},"The Three Bets {#betting-options}",{"type":59,"tag":167,"props":905,"children":907},{"id":906},"banker-bet",[908],{"type":64,"value":909},"Banker Bet",{"type":59,"tag":234,"props":911,"children":912},{},[913,928],{"type":59,"tag":238,"props":914,"children":915},{},[916],{"type":59,"tag":45,"props":917,"children":918},{},[919,924],{"type":59,"tag":245,"props":920,"children":921},{},[922],{"type":64,"value":923},"Metric",{"type":59,"tag":245,"props":925,"children":926},{},[927],{"type":64,"value":419},{"type":59,"tag":256,"props":929,"children":930},{},[931,943,956,969],{"type":59,"tag":45,"props":932,"children":933},{},[934,938],{"type":59,"tag":263,"props":935,"children":936},{},[937],{"type":64,"value":383},{"type":59,"tag":263,"props":939,"children":940},{},[941],{"type":64,"value":942},"0.95:1 (5% commission)",{"type":59,"tag":45,"props":944,"children":945},{},[946,951],{"type":59,"tag":263,"props":947,"children":948},{},[949],{"type":64,"value":950},"House edge",{"type":59,"tag":263,"props":952,"children":953},{},[954],{"type":64,"value":955},"1.06%",{"type":59,"tag":45,"props":957,"children":958},{},[959,964],{"type":59,"tag":263,"props":960,"children":961},{},[962],{"type":64,"value":963},"Win probability",{"type":59,"tag":263,"props":965,"children":966},{},[967],{"type":64,"value":968},"45.86%",{"type":59,"tag":45,"props":970,"children":971},{},[972,977],{"type":59,"tag":263,"props":973,"children":974},{},[975],{"type":64,"value":976},"Tie probability",{"type":59,"tag":263,"props":978,"children":979},{},[980],{"type":64,"value":981},"9.52%",{"type":59,"tag":66,"props":983,"children":984},{},[985,990],{"type":59,"tag":70,"props":986,"children":987},{},[988],{"type":64,"value":989},"Why 5% commission?",{"type":64,"value":991}," Without it, Banker would have a player edge. The commission ensures the house maintains advantage.",{"type":59,"tag":167,"props":993,"children":995},{"id":994},"player-bet",[996],{"type":64,"value":997},"Player Bet",{"type":59,"tag":234,"props":999,"children":1000},{},[1001,1015],{"type":59,"tag":238,"props":1002,"children":1003},{},[1004],{"type":59,"tag":45,"props":1005,"children":1006},{},[1007,1011],{"type":59,"tag":245,"props":1008,"children":1009},{},[1010],{"type":64,"value":923},{"type":59,"tag":245,"props":1012,"children":1013},{},[1014],{"type":64,"value":419},{"type":59,"tag":256,"props":1016,"children":1017},{},[1018,1030,1042,1054],{"type":59,"tag":45,"props":1019,"children":1020},{},[1021,1025],{"type":59,"tag":263,"props":1022,"children":1023},{},[1024],{"type":64,"value":383},{"type":59,"tag":263,"props":1026,"children":1027},{},[1028],{"type":64,"value":1029},"1:1 (even money)",{"type":59,"tag":45,"props":1031,"children":1032},{},[1033,1037],{"type":59,"tag":263,"props":1034,"children":1035},{},[1036],{"type":64,"value":950},{"type":59,"tag":263,"props":1038,"children":1039},{},[1040],{"type":64,"value":1041},"1.24%",{"type":59,"tag":45,"props":1043,"children":1044},{},[1045,1049],{"type":59,"tag":263,"props":1046,"children":1047},{},[1048],{"type":64,"value":963},{"type":59,"tag":263,"props":1050,"children":1051},{},[1052],{"type":64,"value":1053},"44.62%",{"type":59,"tag":45,"props":1055,"children":1056},{},[1057,1061],{"type":59,"tag":263,"props":1058,"children":1059},{},[1060],{"type":64,"value":976},{"type":59,"tag":263,"props":1062,"children":1063},{},[1064],{"type":64,"value":981},{"type":59,"tag":66,"props":1066,"children":1067},{},[1068],{"type":64,"value":1069},"No commission, but slightly worse odds than Banker.",{"type":59,"tag":167,"props":1071,"children":1073},{"id":1072},"tie-bet",[1074],{"type":64,"value":1075},"Tie Bet",{"type":59,"tag":234,"props":1077,"children":1078},{},[1079,1093],{"type":59,"tag":238,"props":1080,"children":1081},{},[1082],{"type":59,"tag":45,"props":1083,"children":1084},{},[1085,1089],{"type":59,"tag":245,"props":1086,"children":1087},{},[1088],{"type":64,"value":923},{"type":59,"tag":245,"props":1090,"children":1091},{},[1092],{"type":64,"value":419},{"type":59,"tag":256,"props":1094,"children":1095},{},[1096,1108,1120],{"type":59,"tag":45,"props":1097,"children":1098},{},[1099,1103],{"type":59,"tag":263,"props":1100,"children":1101},{},[1102],{"type":64,"value":383},{"type":59,"tag":263,"props":1104,"children":1105},{},[1106],{"type":64,"value":1107},"8:1 (sometimes 9:1)",{"type":59,"tag":45,"props":1109,"children":1110},{},[1111,1115],{"type":59,"tag":263,"props":1112,"children":1113},{},[1114],{"type":64,"value":950},{"type":59,"tag":263,"props":1116,"children":1117},{},[1118],{"type":64,"value":1119},"14.36% (8:1) \u002F 4.84% (9:1)",{"type":59,"tag":45,"props":1121,"children":1122},{},[1123,1128],{"type":59,"tag":263,"props":1124,"children":1125},{},[1126],{"type":64,"value":1127},"Probability",{"type":59,"tag":263,"props":1129,"children":1130},{},[1131],{"type":64,"value":981},{"type":59,"tag":66,"props":1133,"children":1134},{},[1135,1140],{"type":59,"tag":70,"props":1136,"children":1137},{},[1138],{"type":64,"value":1139},"Never bet Tie.",{"type":64,"value":1141}," Even at 9:1 payout, it's mathematically inferior to Banker or Player.",{"type":59,"tag":167,"props":1143,"children":1145},{"id":1144},"bet-comparison-table",[1146],{"type":64,"value":1147},"Bet Comparison Table",{"type":59,"tag":234,"props":1149,"children":1150},{},[1151,1176],{"type":59,"tag":238,"props":1152,"children":1153},{},[1154],{"type":59,"tag":45,"props":1155,"children":1156},{},[1157,1162,1166,1171],{"type":59,"tag":245,"props":1158,"children":1159},{},[1160],{"type":64,"value":1161},"Bet",{"type":59,"tag":245,"props":1163,"children":1164},{},[1165],{"type":64,"value":51},{"type":59,"tag":245,"props":1167,"children":1168},{},[1169],{"type":64,"value":1170},"EV per $100",{"type":59,"tag":245,"props":1172,"children":1173},{},[1174],{"type":64,"value":1175},"Recommendation",{"type":59,"tag":256,"props":1177,"children":1178},{},[1179,1200,1221,1244],{"type":59,"tag":45,"props":1180,"children":1181},{},[1182,1186,1190,1195],{"type":59,"tag":263,"props":1183,"children":1184},{},[1185],{"type":64,"value":280},{"type":59,"tag":263,"props":1187,"children":1188},{},[1189],{"type":64,"value":955},{"type":59,"tag":263,"props":1191,"children":1192},{},[1193],{"type":64,"value":1194},"-$1.06",{"type":59,"tag":263,"props":1196,"children":1197},{},[1198],{"type":64,"value":1199},"Best bet",{"type":59,"tag":45,"props":1201,"children":1202},{},[1203,1207,1211,1216],{"type":59,"tag":263,"props":1204,"children":1205},{},[1206],{"type":64,"value":267},{"type":59,"tag":263,"props":1208,"children":1209},{},[1210],{"type":64,"value":1041},{"type":59,"tag":263,"props":1212,"children":1213},{},[1214],{"type":64,"value":1215},"-$1.24",{"type":59,"tag":263,"props":1217,"children":1218},{},[1219],{"type":64,"value":1220},"Second best",{"type":59,"tag":45,"props":1222,"children":1223},{},[1224,1229,1234,1239],{"type":59,"tag":263,"props":1225,"children":1226},{},[1227],{"type":64,"value":1228},"Tie (8:1)",{"type":59,"tag":263,"props":1230,"children":1231},{},[1232],{"type":64,"value":1233},"14.36%",{"type":59,"tag":263,"props":1235,"children":1236},{},[1237],{"type":64,"value":1238},"-$14.36",{"type":59,"tag":263,"props":1240,"children":1241},{},[1242],{"type":64,"value":1243},"Avoid",{"type":59,"tag":45,"props":1245,"children":1246},{},[1247,1252,1257,1262],{"type":59,"tag":263,"props":1248,"children":1249},{},[1250],{"type":64,"value":1251},"Tie (9:1)",{"type":59,"tag":263,"props":1253,"children":1254},{},[1255],{"type":64,"value":1256},"4.84%",{"type":59,"tag":263,"props":1258,"children":1259},{},[1260],{"type":64,"value":1261},"-$4.84",{"type":59,"tag":263,"props":1263,"children":1264},{},[1265],{"type":64,"value":1266},"Still avoid",{"type":59,"tag":60,"props":1268,"children":1270},{"id":1269},"third-card-rules-third-card",[1271],{"type":64,"value":1272},"Third Card Rules {#third-card}",{"type":59,"tag":167,"props":1274,"children":1276},{"id":1275},"player-third-card-rule",[1277],{"type":64,"value":1278},"Player Third Card Rule",{"type":59,"tag":234,"props":1280,"children":1281},{},[1282,1297],{"type":59,"tag":238,"props":1283,"children":1284},{},[1285],{"type":59,"tag":45,"props":1286,"children":1287},{},[1288,1293],{"type":59,"tag":245,"props":1289,"children":1290},{},[1291],{"type":64,"value":1292},"Player Total",{"type":59,"tag":245,"props":1294,"children":1295},{},[1296],{"type":64,"value":333},{"type":59,"tag":256,"props":1298,"children":1299},{},[1300,1313,1326],{"type":59,"tag":45,"props":1301,"children":1302},{},[1303,1308],{"type":59,"tag":263,"props":1304,"children":1305},{},[1306],{"type":64,"value":1307},"0-5",{"type":59,"tag":263,"props":1309,"children":1310},{},[1311],{"type":64,"value":1312},"Draws third card",{"type":59,"tag":45,"props":1314,"children":1315},{},[1316,1321],{"type":59,"tag":263,"props":1317,"children":1318},{},[1319],{"type":64,"value":1320},"6-7",{"type":59,"tag":263,"props":1322,"children":1323},{},[1324],{"type":64,"value":1325},"Stands",{"type":59,"tag":45,"props":1327,"children":1328},{},[1329,1334],{"type":59,"tag":263,"props":1330,"children":1331},{},[1332],{"type":64,"value":1333},"8-9",{"type":59,"tag":263,"props":1335,"children":1336},{},[1337],{"type":64,"value":1338},"Natural - stands",{"type":59,"tag":66,"props":1340,"children":1341},{},[1342],{"type":64,"value":1343},"Simple rule: Player draws on 0-5, stands on 6-7.",{"type":59,"tag":167,"props":1345,"children":1347},{"id":1346},"banker-third-card-rules",[1348],{"type":64,"value":1349},"Banker Third Card Rules",{"type":59,"tag":66,"props":1351,"children":1352},{},[1353],{"type":64,"value":1354},"Banker's action depends on Player's third card:",{"type":59,"tag":234,"props":1356,"children":1357},{},[1358,1379],{"type":59,"tag":238,"props":1359,"children":1360},{},[1361],{"type":59,"tag":45,"props":1362,"children":1363},{},[1364,1369,1374],{"type":59,"tag":245,"props":1365,"children":1366},{},[1367],{"type":64,"value":1368},"Banker Total",{"type":59,"tag":245,"props":1370,"children":1371},{},[1372],{"type":64,"value":1373},"Draws When Player's Third Card Is",{"type":59,"tag":245,"props":1375,"children":1376},{},[1377],{"type":64,"value":1378},"Stands When",{"type":59,"tag":256,"props":1380,"children":1381},{},[1382,1400,1417,1435,1452,1469],{"type":59,"tag":45,"props":1383,"children":1384},{},[1385,1390,1395],{"type":59,"tag":263,"props":1386,"children":1387},{},[1388],{"type":64,"value":1389},"0-2",{"type":59,"tag":263,"props":1391,"children":1392},{},[1393],{"type":64,"value":1394},"Always draws",{"type":59,"tag":263,"props":1396,"children":1397},{},[1398],{"type":64,"value":1399},"Never",{"type":59,"tag":45,"props":1401,"children":1402},{},[1403,1408,1413],{"type":59,"tag":263,"props":1404,"children":1405},{},[1406],{"type":64,"value":1407},"3",{"type":59,"tag":263,"props":1409,"children":1410},{},[1411],{"type":64,"value":1412},"0-7, 9",{"type":59,"tag":263,"props":1414,"children":1415},{},[1416],{"type":64,"value":790},{"type":59,"tag":45,"props":1418,"children":1419},{},[1420,1425,1430],{"type":59,"tag":263,"props":1421,"children":1422},{},[1423],{"type":64,"value":1424},"4",{"type":59,"tag":263,"props":1426,"children":1427},{},[1428],{"type":64,"value":1429},"2-7",{"type":59,"tag":263,"props":1431,"children":1432},{},[1433],{"type":64,"value":1434},"0, 1, 8, 9",{"type":59,"tag":45,"props":1436,"children":1437},{},[1438,1442,1447],{"type":59,"tag":263,"props":1439,"children":1440},{},[1441],{"type":64,"value":751},{"type":59,"tag":263,"props":1443,"children":1444},{},[1445],{"type":64,"value":1446},"4-7",{"type":59,"tag":263,"props":1448,"children":1449},{},[1450],{"type":64,"value":1451},"0-3, 8, 9",{"type":59,"tag":45,"props":1453,"children":1454},{},[1455,1460,1464],{"type":59,"tag":263,"props":1456,"children":1457},{},[1458],{"type":64,"value":1459},"6",{"type":59,"tag":263,"props":1461,"children":1462},{},[1463],{"type":64,"value":1320},{"type":59,"tag":263,"props":1465,"children":1466},{},[1467],{"type":64,"value":1468},"0-5, 8, 9",{"type":59,"tag":45,"props":1470,"children":1471},{},[1472,1477,1481],{"type":59,"tag":263,"props":1473,"children":1474},{},[1475],{"type":64,"value":1476},"7",{"type":59,"tag":263,"props":1478,"children":1479},{},[1480],{"type":64,"value":1399},{"type":59,"tag":263,"props":1482,"children":1483},{},[1484],{"type":64,"value":1485},"Always",{"type":59,"tag":66,"props":1487,"children":1488},{},[1489,1494],{"type":59,"tag":70,"props":1490,"children":1491},{},[1492],{"type":64,"value":1493},"You don't need to memorize this.",{"type":64,"value":1495}," The dealer handles all decisions automatically.",{"type":59,"tag":167,"props":1497,"children":1499},{"id":1498},"why-banker-has-an-edge",[1500],{"type":64,"value":1501},"Why Banker Has an Edge",{"type":59,"tag":66,"props":1503,"children":1504},{},[1505],{"type":64,"value":1506},"The Banker rules are designed to respond to Player's third card:",{"type":59,"tag":469,"props":1508,"children":1510},{"className":1509},[472],[1511,1587],{"type":59,"tag":469,"props":1512,"children":1514},{"className":1513},[477],[1515],{"type":59,"tag":480,"props":1516,"children":1517},{"xmlns":482},[1518],{"type":59,"tag":485,"props":1519,"children":1520},{},[1521,1582],{"type":59,"tag":489,"props":1522,"children":1523},{},[1524,1529,1533,1538,1542,1546,1551,1556,1560,1564,1569,1573,1577],{"type":59,"tag":532,"props":1525,"children":1526},{},[1527],{"type":64,"value":1528},"P",{"type":59,"tag":499,"props":1530,"children":1531},{"stretchy":506},[1532],{"type":64,"value":509},{"type":59,"tag":493,"props":1534,"children":1535},{},[1536],{"type":64,"value":1537},"Banker wins",{"type":59,"tag":499,"props":1539,"children":1540},{"stretchy":506},[1541],{"type":64,"value":519},{"type":59,"tag":499,"props":1543,"children":1544},{},[1545],{"type":64,"value":503},{"type":59,"tag":558,"props":1547,"children":1548},{},[1549],{"type":64,"value":1550},"0.4586",{"type":59,"tag":499,"props":1552,"children":1553},{},[1554],{"type":64,"value":1555},">",{"type":59,"tag":532,"props":1557,"children":1558},{},[1559],{"type":64,"value":1528},{"type":59,"tag":499,"props":1561,"children":1562},{"stretchy":506},[1563],{"type":64,"value":509},{"type":59,"tag":493,"props":1565,"children":1566},{},[1567],{"type":64,"value":1568},"Player wins",{"type":59,"tag":499,"props":1570,"children":1571},{"stretchy":506},[1572],{"type":64,"value":519},{"type":59,"tag":499,"props":1574,"children":1575},{},[1576],{"type":64,"value":503},{"type":59,"tag":558,"props":1578,"children":1579},{},[1580],{"type":64,"value":1581},"0.4462",{"type":59,"tag":564,"props":1583,"children":1584},{"encoding":566},[1585],{"type":64,"value":1586},"P(\\text{Banker wins}) = 0.4586 > P(\\text{Player wins}) = 0.4462\n",{"type":59,"tag":469,"props":1588,"children":1590},{"className":1589,"ariaHidden":574},[573],[1591,1638,1665,1710],{"type":59,"tag":469,"props":1592,"children":1594},{"className":1593},[579],[1595,1599,1606,1611,1620,1625,1629,1634],{"type":59,"tag":469,"props":1596,"children":1598},{"className":1597,"style":619},[584],[],{"type":59,"tag":469,"props":1600,"children":1604},{"className":1601,"style":1603},[590,1602],"mathnormal","margin-right:0.1389em;",[1605],{"type":64,"value":1528},{"type":59,"tag":469,"props":1607,"children":1609},{"className":1608},[624],[1610],{"type":64,"value":509},{"type":59,"tag":469,"props":1612,"children":1614},{"className":1613},[590,64],[1615],{"type":59,"tag":469,"props":1616,"children":1618},{"className":1617},[590],[1619],{"type":64,"value":1537},{"type":59,"tag":469,"props":1621,"children":1623},{"className":1622},[639],[1624],{"type":64,"value":519},{"type":59,"tag":469,"props":1626,"children":1628},{"className":1627,"style":600},[521],[],{"type":59,"tag":469,"props":1630,"children":1632},{"className":1631},[605],[1633],{"type":64,"value":503},{"type":59,"tag":469,"props":1635,"children":1637},{"className":1636,"style":600},[521],[],{"type":59,"tag":469,"props":1639,"children":1641},{"className":1640},[579],[1642,1647,1652,1656,1661],{"type":59,"tag":469,"props":1643,"children":1646},{"className":1644,"style":1645},[584],"height:0.6835em;vertical-align:-0.0391em;",[],{"type":59,"tag":469,"props":1648,"children":1650},{"className":1649},[590],[1651],{"type":64,"value":1550},{"type":59,"tag":469,"props":1653,"children":1655},{"className":1654,"style":600},[521],[],{"type":59,"tag":469,"props":1657,"children":1659},{"className":1658},[605],[1660],{"type":64,"value":1555},{"type":59,"tag":469,"props":1662,"children":1664},{"className":1663,"style":600},[521],[],{"type":59,"tag":469,"props":1666,"children":1668},{"className":1667},[579],[1669,1673,1678,1683,1692,1697,1701,1706],{"type":59,"tag":469,"props":1670,"children":1672},{"className":1671,"style":619},[584],[],{"type":59,"tag":469,"props":1674,"children":1676},{"className":1675,"style":1603},[590,1602],[1677],{"type":64,"value":1528},{"type":59,"tag":469,"props":1679,"children":1681},{"className":1680},[624],[1682],{"type":64,"value":509},{"type":59,"tag":469,"props":1684,"children":1686},{"className":1685},[590,64],[1687],{"type":59,"tag":469,"props":1688,"children":1690},{"className":1689},[590],[1691],{"type":64,"value":1568},{"type":59,"tag":469,"props":1693,"children":1695},{"className":1694},[639],[1696],{"type":64,"value":519},{"type":59,"tag":469,"props":1698,"children":1700},{"className":1699,"style":600},[521],[],{"type":59,"tag":469,"props":1702,"children":1704},{"className":1703},[605],[1705],{"type":64,"value":503},{"type":59,"tag":469,"props":1707,"children":1709},{"className":1708,"style":600},[521],[],{"type":59,"tag":469,"props":1711,"children":1713},{"className":1712},[579],[1714,1719],{"type":59,"tag":469,"props":1715,"children":1718},{"className":1716,"style":1717},[584],"height:0.6444em;",[],{"type":59,"tag":469,"props":1720,"children":1722},{"className":1721},[590],[1723],{"type":64,"value":1581},{"type":59,"tag":66,"props":1725,"children":1726},{},[1727],{"type":64,"value":1728},"This 1.24% advantage for Banker is why casinos charge 5% commission.",{"type":59,"tag":60,"props":1730,"children":1732},{"id":1731},"baccarat-math-math",[1733],{"type":64,"value":1734},"Baccarat Math {#math}",{"type":59,"tag":167,"props":1736,"children":1738},{"id":1737},"expected-value-calculations",[1739],{"type":64,"value":1740},"Expected Value Calculations",{"type":59,"tag":469,"props":1742,"children":1744},{"className":1743},[472],[1745,1864],{"type":59,"tag":469,"props":1746,"children":1748},{"className":1747},[477],[1749],{"type":59,"tag":480,"props":1750,"children":1751},{"xmlns":482},[1752],{"type":59,"tag":485,"props":1753,"children":1754},{},[1755,1859],{"type":59,"tag":489,"props":1756,"children":1757},{},[1758,1763,1767,1771,1775,1780,1785,1789,1794,1798,1802,1806,1811,1816,1820,1824,1828,1833,1837,1842,1846,1850,1854],{"type":59,"tag":493,"props":1759,"children":1760},{},[1761],{"type":64,"value":1762},"EV (Banker)",{"type":59,"tag":499,"props":1764,"children":1765},{},[1766],{"type":64,"value":503},{"type":59,"tag":499,"props":1768,"children":1769},{"stretchy":506},[1770],{"type":64,"value":509},{"type":59,"tag":558,"props":1772,"children":1773},{},[1774],{"type":64,"value":1550},{"type":59,"tag":499,"props":1776,"children":1777},{},[1778],{"type":64,"value":1779},"×",{"type":59,"tag":558,"props":1781,"children":1782},{},[1783],{"type":64,"value":1784},"0.95",{"type":59,"tag":499,"props":1786,"children":1787},{"stretchy":506},[1788],{"type":64,"value":519},{"type":59,"tag":499,"props":1790,"children":1791},{},[1792],{"type":64,"value":1793},"+",{"type":59,"tag":499,"props":1795,"children":1796},{"stretchy":506},[1797],{"type":64,"value":509},{"type":59,"tag":558,"props":1799,"children":1800},{},[1801],{"type":64,"value":1581},{"type":59,"tag":499,"props":1803,"children":1804},{},[1805],{"type":64,"value":1779},{"type":59,"tag":499,"props":1807,"children":1808},{},[1809],{"type":64,"value":1810},"−",{"type":59,"tag":558,"props":1812,"children":1813},{},[1814],{"type":64,"value":1815},"1",{"type":59,"tag":499,"props":1817,"children":1818},{"stretchy":506},[1819],{"type":64,"value":519},{"type":59,"tag":499,"props":1821,"children":1822},{},[1823],{"type":64,"value":1793},{"type":59,"tag":499,"props":1825,"children":1826},{"stretchy":506},[1827],{"type":64,"value":509},{"type":59,"tag":558,"props":1829,"children":1830},{},[1831],{"type":64,"value":1832},"0.0952",{"type":59,"tag":499,"props":1834,"children":1835},{},[1836],{"type":64,"value":1779},{"type":59,"tag":558,"props":1838,"children":1839},{},[1840],{"type":64,"value":1841},"0",{"type":59,"tag":499,"props":1843,"children":1844},{"stretchy":506},[1845],{"type":64,"value":519},{"type":59,"tag":499,"props":1847,"children":1848},{},[1849],{"type":64,"value":503},{"type":59,"tag":499,"props":1851,"children":1852},{},[1853],{"type":64,"value":1810},{"type":59,"tag":558,"props":1855,"children":1856},{},[1857],{"type":64,"value":1858},"0.0106",{"type":59,"tag":564,"props":1860,"children":1861},{"encoding":566},[1862],{"type":64,"value":1863},"\\text{EV (Banker)} = (0.4586 \\times 0.95) + (0.4462 \\times -1) + (0.0952 \\times 0) = -0.0106\n",{"type":59,"tag":469,"props":1865,"children":1867},{"className":1866,"ariaHidden":574},[573],[1868,1898,1931,1962,1993,2029,2060,2091],{"type":59,"tag":469,"props":1869,"children":1871},{"className":1870},[579],[1872,1876,1885,1889,1894],{"type":59,"tag":469,"props":1873,"children":1875},{"className":1874,"style":619},[584],[],{"type":59,"tag":469,"props":1877,"children":1879},{"className":1878},[590,64],[1880],{"type":59,"tag":469,"props":1881,"children":1883},{"className":1882},[590],[1884],{"type":64,"value":1762},{"type":59,"tag":469,"props":1886,"children":1888},{"className":1887,"style":600},[521],[],{"type":59,"tag":469,"props":1890,"children":1892},{"className":1891},[605],[1893],{"type":64,"value":503},{"type":59,"tag":469,"props":1895,"children":1897},{"className":1896,"style":600},[521],[],{"type":59,"tag":469,"props":1899,"children":1901},{"className":1900},[579],[1902,1906,1911,1916,1921,1927],{"type":59,"tag":469,"props":1903,"children":1905},{"className":1904,"style":619},[584],[],{"type":59,"tag":469,"props":1907,"children":1909},{"className":1908},[624],[1910],{"type":64,"value":509},{"type":59,"tag":469,"props":1912,"children":1914},{"className":1913},[590],[1915],{"type":64,"value":1550},{"type":59,"tag":469,"props":1917,"children":1920},{"className":1918,"style":1919},[521],"margin-right:0.2222em;",[],{"type":59,"tag":469,"props":1922,"children":1925},{"className":1923},[1924],"mbin",[1926],{"type":64,"value":1779},{"type":59,"tag":469,"props":1928,"children":1930},{"className":1929,"style":1919},[521],[],{"type":59,"tag":469,"props":1932,"children":1934},{"className":1933},[579],[1935,1939,1944,1949,1953,1958],{"type":59,"tag":469,"props":1936,"children":1938},{"className":1937,"style":619},[584],[],{"type":59,"tag":469,"props":1940,"children":1942},{"className":1941},[590],[1943],{"type":64,"value":1784},{"type":59,"tag":469,"props":1945,"children":1947},{"className":1946},[639],[1948],{"type":64,"value":519},{"type":59,"tag":469,"props":1950,"children":1952},{"className":1951,"style":1919},[521],[],{"type":59,"tag":469,"props":1954,"children":1956},{"className":1955},[1924],[1957],{"type":64,"value":1793},{"type":59,"tag":469,"props":1959,"children":1961},{"className":1960,"style":1919},[521],[],{"type":59,"tag":469,"props":1963,"children":1965},{"className":1964},[579],[1966,1970,1975,1980,1984,1989],{"type":59,"tag":469,"props":1967,"children":1969},{"className":1968,"style":619},[584],[],{"type":59,"tag":469,"props":1971,"children":1973},{"className":1972},[624],[1974],{"type":64,"value":509},{"type":59,"tag":469,"props":1976,"children":1978},{"className":1977},[590],[1979],{"type":64,"value":1581},{"type":59,"tag":469,"props":1981,"children":1983},{"className":1982,"style":1919},[521],[],{"type":59,"tag":469,"props":1985,"children":1987},{"className":1986},[1924],[1988],{"type":64,"value":1779},{"type":59,"tag":469,"props":1990,"children":1992},{"className":1991,"style":1919},[521],[],{"type":59,"tag":469,"props":1994,"children":1996},{"className":1995},[579],[1997,2001,2006,2011,2016,2020,2025],{"type":59,"tag":469,"props":1998,"children":2000},{"className":1999,"style":619},[584],[],{"type":59,"tag":469,"props":2002,"children":2004},{"className":2003},[590],[2005],{"type":64,"value":1810},{"type":59,"tag":469,"props":2007,"children":2009},{"className":2008},[590],[2010],{"type":64,"value":1815},{"type":59,"tag":469,"props":2012,"children":2014},{"className":2013},[639],[2015],{"type":64,"value":519},{"type":59,"tag":469,"props":2017,"children":2019},{"className":2018,"style":1919},[521],[],{"type":59,"tag":469,"props":2021,"children":2023},{"className":2022},[1924],[2024],{"type":64,"value":1793},{"type":59,"tag":469,"props":2026,"children":2028},{"className":2027,"style":1919},[521],[],{"type":59,"tag":469,"props":2030,"children":2032},{"className":2031},[579],[2033,2037,2042,2047,2051,2056],{"type":59,"tag":469,"props":2034,"children":2036},{"className":2035,"style":619},[584],[],{"type":59,"tag":469,"props":2038,"children":2040},{"className":2039},[624],[2041],{"type":64,"value":509},{"type":59,"tag":469,"props":2043,"children":2045},{"className":2044},[590],[2046],{"type":64,"value":1832},{"type":59,"tag":469,"props":2048,"children":2050},{"className":2049,"style":1919},[521],[],{"type":59,"tag":469,"props":2052,"children":2054},{"className":2053},[1924],[2055],{"type":64,"value":1779},{"type":59,"tag":469,"props":2057,"children":2059},{"className":2058,"style":1919},[521],[],{"type":59,"tag":469,"props":2061,"children":2063},{"className":2062},[579],[2064,2068,2073,2078,2082,2087],{"type":59,"tag":469,"props":2065,"children":2067},{"className":2066,"style":619},[584],[],{"type":59,"tag":469,"props":2069,"children":2071},{"className":2070},[590],[2072],{"type":64,"value":1841},{"type":59,"tag":469,"props":2074,"children":2076},{"className":2075},[639],[2077],{"type":64,"value":519},{"type":59,"tag":469,"props":2079,"children":2081},{"className":2080,"style":600},[521],[],{"type":59,"tag":469,"props":2083,"children":2085},{"className":2084},[605],[2086],{"type":64,"value":503},{"type":59,"tag":469,"props":2088,"children":2090},{"className":2089,"style":600},[521],[],{"type":59,"tag":469,"props":2092,"children":2094},{"className":2093},[579],[2095,2100,2105],{"type":59,"tag":469,"props":2096,"children":2099},{"className":2097,"style":2098},[584],"height:0.7278em;vertical-align:-0.0833em;",[],{"type":59,"tag":469,"props":2101,"children":2103},{"className":2102},[590],[2104],{"type":64,"value":1810},{"type":59,"tag":469,"props":2106,"children":2108},{"className":2107},[590],[2109],{"type":64,"value":1858},{"type":59,"tag":469,"props":2111,"children":2113},{"className":2112},[472],[2114,2226],{"type":59,"tag":469,"props":2115,"children":2117},{"className":2116},[477],[2118],{"type":59,"tag":480,"props":2119,"children":2120},{"xmlns":482},[2121],{"type":59,"tag":485,"props":2122,"children":2123},{},[2124,2221],{"type":59,"tag":489,"props":2125,"children":2126},{},[2127,2132,2136,2140,2144,2148,2152,2156,2160,2164,2168,2172,2176,2180,2184,2188,2192,2196,2200,2204,2208,2212,2216],{"type":59,"tag":493,"props":2128,"children":2129},{},[2130],{"type":64,"value":2131},"EV (Player)",{"type":59,"tag":499,"props":2133,"children":2134},{},[2135],{"type":64,"value":503},{"type":59,"tag":499,"props":2137,"children":2138},{"stretchy":506},[2139],{"type":64,"value":509},{"type":59,"tag":558,"props":2141,"children":2142},{},[2143],{"type":64,"value":1581},{"type":59,"tag":499,"props":2145,"children":2146},{},[2147],{"type":64,"value":1779},{"type":59,"tag":558,"props":2149,"children":2150},{},[2151],{"type":64,"value":1815},{"type":59,"tag":499,"props":2153,"children":2154},{"stretchy":506},[2155],{"type":64,"value":519},{"type":59,"tag":499,"props":2157,"children":2158},{},[2159],{"type":64,"value":1793},{"type":59,"tag":499,"props":2161,"children":2162},{"stretchy":506},[2163],{"type":64,"value":509},{"type":59,"tag":558,"props":2165,"children":2166},{},[2167],{"type":64,"value":1550},{"type":59,"tag":499,"props":2169,"children":2170},{},[2171],{"type":64,"value":1779},{"type":59,"tag":499,"props":2173,"children":2174},{},[2175],{"type":64,"value":1810},{"type":59,"tag":558,"props":2177,"children":2178},{},[2179],{"type":64,"value":1815},{"type":59,"tag":499,"props":2181,"children":2182},{"stretchy":506},[2183],{"type":64,"value":519},{"type":59,"tag":499,"props":2185,"children":2186},{},[2187],{"type":64,"value":1793},{"type":59,"tag":499,"props":2189,"children":2190},{"stretchy":506},[2191],{"type":64,"value":509},{"type":59,"tag":558,"props":2193,"children":2194},{},[2195],{"type":64,"value":1832},{"type":59,"tag":499,"props":2197,"children":2198},{},[2199],{"type":64,"value":1779},{"type":59,"tag":558,"props":2201,"children":2202},{},[2203],{"type":64,"value":1841},{"type":59,"tag":499,"props":2205,"children":2206},{"stretchy":506},[2207],{"type":64,"value":519},{"type":59,"tag":499,"props":2209,"children":2210},{},[2211],{"type":64,"value":503},{"type":59,"tag":499,"props":2213,"children":2214},{},[2215],{"type":64,"value":1810},{"type":59,"tag":558,"props":2217,"children":2218},{},[2219],{"type":64,"value":2220},"0.0124",{"type":59,"tag":564,"props":2222,"children":2223},{"encoding":566},[2224],{"type":64,"value":2225},"\\text{EV (Player)} = (0.4462 \\times 1) + (0.4586 \\times -1) + (0.0952 \\times 0) = -0.0124\n",{"type":59,"tag":469,"props":2227,"children":2229},{"className":2228,"ariaHidden":574},[573],[2230,2260,2291,2322,2353,2389,2420,2451],{"type":59,"tag":469,"props":2231,"children":2233},{"className":2232},[579],[2234,2238,2247,2251,2256],{"type":59,"tag":469,"props":2235,"children":2237},{"className":2236,"style":619},[584],[],{"type":59,"tag":469,"props":2239,"children":2241},{"className":2240},[590,64],[2242],{"type":59,"tag":469,"props":2243,"children":2245},{"className":2244},[590],[2246],{"type":64,"value":2131},{"type":59,"tag":469,"props":2248,"children":2250},{"className":2249,"style":600},[521],[],{"type":59,"tag":469,"props":2252,"children":2254},{"className":2253},[605],[2255],{"type":64,"value":503},{"type":59,"tag":469,"props":2257,"children":2259},{"className":2258,"style":600},[521],[],{"type":59,"tag":469,"props":2261,"children":2263},{"className":2262},[579],[2264,2268,2273,2278,2282,2287],{"type":59,"tag":469,"props":2265,"children":2267},{"className":2266,"style":619},[584],[],{"type":59,"tag":469,"props":2269,"children":2271},{"className":2270},[624],[2272],{"type":64,"value":509},{"type":59,"tag":469,"props":2274,"children":2276},{"className":2275},[590],[2277],{"type":64,"value":1581},{"type":59,"tag":469,"props":2279,"children":2281},{"className":2280,"style":1919},[521],[],{"type":59,"tag":469,"props":2283,"children":2285},{"className":2284},[1924],[2286],{"type":64,"value":1779},{"type":59,"tag":469,"props":2288,"children":2290},{"className":2289,"style":1919},[521],[],{"type":59,"tag":469,"props":2292,"children":2294},{"className":2293},[579],[2295,2299,2304,2309,2313,2318],{"type":59,"tag":469,"props":2296,"children":2298},{"className":2297,"style":619},[584],[],{"type":59,"tag":469,"props":2300,"children":2302},{"className":2301},[590],[2303],{"type":64,"value":1815},{"type":59,"tag":469,"props":2305,"children":2307},{"className":2306},[639],[2308],{"type":64,"value":519},{"type":59,"tag":469,"props":2310,"children":2312},{"className":2311,"style":1919},[521],[],{"type":59,"tag":469,"props":2314,"children":2316},{"className":2315},[1924],[2317],{"type":64,"value":1793},{"type":59,"tag":469,"props":2319,"children":2321},{"className":2320,"style":1919},[521],[],{"type":59,"tag":469,"props":2323,"children":2325},{"className":2324},[579],[2326,2330,2335,2340,2344,2349],{"type":59,"tag":469,"props":2327,"children":2329},{"className":2328,"style":619},[584],[],{"type":59,"tag":469,"props":2331,"children":2333},{"className":2332},[624],[2334],{"type":64,"value":509},{"type":59,"tag":469,"props":2336,"children":2338},{"className":2337},[590],[2339],{"type":64,"value":1550},{"type":59,"tag":469,"props":2341,"children":2343},{"className":2342,"style":1919},[521],[],{"type":59,"tag":469,"props":2345,"children":2347},{"className":2346},[1924],[2348],{"type":64,"value":1779},{"type":59,"tag":469,"props":2350,"children":2352},{"className":2351,"style":1919},[521],[],{"type":59,"tag":469,"props":2354,"children":2356},{"className":2355},[579],[2357,2361,2366,2371,2376,2380,2385],{"type":59,"tag":469,"props":2358,"children":2360},{"className":2359,"style":619},[584],[],{"type":59,"tag":469,"props":2362,"children":2364},{"className":2363},[590],[2365],{"type":64,"value":1810},{"type":59,"tag":469,"props":2367,"children":2369},{"className":2368},[590],[2370],{"type":64,"value":1815},{"type":59,"tag":469,"props":2372,"children":2374},{"className":2373},[639],[2375],{"type":64,"value":519},{"type":59,"tag":469,"props":2377,"children":2379},{"className":2378,"style":1919},[521],[],{"type":59,"tag":469,"props":2381,"children":2383},{"className":2382},[1924],[2384],{"type":64,"value":1793},{"type":59,"tag":469,"props":2386,"children":2388},{"className":2387,"style":1919},[521],[],{"type":59,"tag":469,"props":2390,"children":2392},{"className":2391},[579],[2393,2397,2402,2407,2411,2416],{"type":59,"tag":469,"props":2394,"children":2396},{"className":2395,"style":619},[584],[],{"type":59,"tag":469,"props":2398,"children":2400},{"className":2399},[624],[2401],{"type":64,"value":509},{"type":59,"tag":469,"props":2403,"children":2405},{"className":2404},[590],[2406],{"type":64,"value":1832},{"type":59,"tag":469,"props":2408,"children":2410},{"className":2409,"style":1919},[521],[],{"type":59,"tag":469,"props":2412,"children":2414},{"className":2413},[1924],[2415],{"type":64,"value":1779},{"type":59,"tag":469,"props":2417,"children":2419},{"className":2418,"style":1919},[521],[],{"type":59,"tag":469,"props":2421,"children":2423},{"className":2422},[579],[2424,2428,2433,2438,2442,2447],{"type":59,"tag":469,"props":2425,"children":2427},{"className":2426,"style":619},[584],[],{"type":59,"tag":469,"props":2429,"children":2431},{"className":2430},[590],[2432],{"type":64,"value":1841},{"type":59,"tag":469,"props":2434,"children":2436},{"className":2435},[639],[2437],{"type":64,"value":519},{"type":59,"tag":469,"props":2439,"children":2441},{"className":2440,"style":600},[521],[],{"type":59,"tag":469,"props":2443,"children":2445},{"className":2444},[605],[2446],{"type":64,"value":503},{"type":59,"tag":469,"props":2448,"children":2450},{"className":2449,"style":600},[521],[],{"type":59,"tag":469,"props":2452,"children":2454},{"className":2453},[579],[2455,2459,2464],{"type":59,"tag":469,"props":2456,"children":2458},{"className":2457,"style":2098},[584],[],{"type":59,"tag":469,"props":2460,"children":2462},{"className":2461},[590],[2463],{"type":64,"value":1810},{"type":59,"tag":469,"props":2465,"children":2467},{"className":2466},[590],[2468],{"type":64,"value":2220},{"type":59,"tag":469,"props":2470,"children":2472},{"className":2471},[472],[2473,2562],{"type":59,"tag":469,"props":2474,"children":2476},{"className":2475},[477],[2477],{"type":59,"tag":480,"props":2478,"children":2479},{"xmlns":482},[2480],{"type":59,"tag":485,"props":2481,"children":2482},{},[2483,2557],{"type":59,"tag":489,"props":2484,"children":2485},{},[2486,2491,2495,2499,2503,2507,2511,2515,2519,2523,2528,2532,2536,2540,2544,2548,2552],{"type":59,"tag":493,"props":2487,"children":2488},{},[2489],{"type":64,"value":2490},"EV (Tie 8:1)",{"type":59,"tag":499,"props":2492,"children":2493},{},[2494],{"type":64,"value":503},{"type":59,"tag":499,"props":2496,"children":2497},{"stretchy":506},[2498],{"type":64,"value":509},{"type":59,"tag":558,"props":2500,"children":2501},{},[2502],{"type":64,"value":1832},{"type":59,"tag":499,"props":2504,"children":2505},{},[2506],{"type":64,"value":1779},{"type":59,"tag":558,"props":2508,"children":2509},{},[2510],{"type":64,"value":790},{"type":59,"tag":499,"props":2512,"children":2513},{"stretchy":506},[2514],{"type":64,"value":519},{"type":59,"tag":499,"props":2516,"children":2517},{},[2518],{"type":64,"value":1793},{"type":59,"tag":499,"props":2520,"children":2521},{"stretchy":506},[2522],{"type":64,"value":509},{"type":59,"tag":558,"props":2524,"children":2525},{},[2526],{"type":64,"value":2527},"0.9048",{"type":59,"tag":499,"props":2529,"children":2530},{},[2531],{"type":64,"value":1779},{"type":59,"tag":499,"props":2533,"children":2534},{},[2535],{"type":64,"value":1810},{"type":59,"tag":558,"props":2537,"children":2538},{},[2539],{"type":64,"value":1815},{"type":59,"tag":499,"props":2541,"children":2542},{"stretchy":506},[2543],{"type":64,"value":519},{"type":59,"tag":499,"props":2545,"children":2546},{},[2547],{"type":64,"value":503},{"type":59,"tag":499,"props":2549,"children":2550},{},[2551],{"type":64,"value":1810},{"type":59,"tag":558,"props":2553,"children":2554},{},[2555],{"type":64,"value":2556},"0.1436",{"type":59,"tag":564,"props":2558,"children":2559},{"encoding":566},[2560],{"type":64,"value":2561},"\\text{EV (Tie 8:1)} = (0.0952 \\times 8) + (0.9048 \\times -1) = -0.1436\n",{"type":59,"tag":469,"props":2563,"children":2565},{"className":2564,"ariaHidden":574},[573],[2566,2596,2627,2658,2689,2725],{"type":59,"tag":469,"props":2567,"children":2569},{"className":2568},[579],[2570,2574,2583,2587,2592],{"type":59,"tag":469,"props":2571,"children":2573},{"className":2572,"style":619},[584],[],{"type":59,"tag":469,"props":2575,"children":2577},{"className":2576},[590,64],[2578],{"type":59,"tag":469,"props":2579,"children":2581},{"className":2580},[590],[2582],{"type":64,"value":2490},{"type":59,"tag":469,"props":2584,"children":2586},{"className":2585,"style":600},[521],[],{"type":59,"tag":469,"props":2588,"children":2590},{"className":2589},[605],[2591],{"type":64,"value":503},{"type":59,"tag":469,"props":2593,"children":2595},{"className":2594,"style":600},[521],[],{"type":59,"tag":469,"props":2597,"children":2599},{"className":2598},[579],[2600,2604,2609,2614,2618,2623],{"type":59,"tag":469,"props":2601,"children":2603},{"className":2602,"style":619},[584],[],{"type":59,"tag":469,"props":2605,"children":2607},{"className":2606},[624],[2608],{"type":64,"value":509},{"type":59,"tag":469,"props":2610,"children":2612},{"className":2611},[590],[2613],{"type":64,"value":1832},{"type":59,"tag":469,"props":2615,"children":2617},{"className":2616,"style":1919},[521],[],{"type":59,"tag":469,"props":2619,"children":2621},{"className":2620},[1924],[2622],{"type":64,"value":1779},{"type":59,"tag":469,"props":2624,"children":2626},{"className":2625,"style":1919},[521],[],{"type":59,"tag":469,"props":2628,"children":2630},{"className":2629},[579],[2631,2635,2640,2645,2649,2654],{"type":59,"tag":469,"props":2632,"children":2634},{"className":2633,"style":619},[584],[],{"type":59,"tag":469,"props":2636,"children":2638},{"className":2637},[590],[2639],{"type":64,"value":790},{"type":59,"tag":469,"props":2641,"children":2643},{"className":2642},[639],[2644],{"type":64,"value":519},{"type":59,"tag":469,"props":2646,"children":2648},{"className":2647,"style":1919},[521],[],{"type":59,"tag":469,"props":2650,"children":2652},{"className":2651},[1924],[2653],{"type":64,"value":1793},{"type":59,"tag":469,"props":2655,"children":2657},{"className":2656,"style":1919},[521],[],{"type":59,"tag":469,"props":2659,"children":2661},{"className":2660},[579],[2662,2666,2671,2676,2680,2685],{"type":59,"tag":469,"props":2663,"children":2665},{"className":2664,"style":619},[584],[],{"type":59,"tag":469,"props":2667,"children":2669},{"className":2668},[624],[2670],{"type":64,"value":509},{"type":59,"tag":469,"props":2672,"children":2674},{"className":2673},[590],[2675],{"type":64,"value":2527},{"type":59,"tag":469,"props":2677,"children":2679},{"className":2678,"style":1919},[521],[],{"type":59,"tag":469,"props":2681,"children":2683},{"className":2682},[1924],[2684],{"type":64,"value":1779},{"type":59,"tag":469,"props":2686,"children":2688},{"className":2687,"style":1919},[521],[],{"type":59,"tag":469,"props":2690,"children":2692},{"className":2691},[579],[2693,2697,2702,2707,2712,2716,2721],{"type":59,"tag":469,"props":2694,"children":2696},{"className":2695,"style":619},[584],[],{"type":59,"tag":469,"props":2698,"children":2700},{"className":2699},[590],[2701],{"type":64,"value":1810},{"type":59,"tag":469,"props":2703,"children":2705},{"className":2704},[590],[2706],{"type":64,"value":1815},{"type":59,"tag":469,"props":2708,"children":2710},{"className":2709},[639],[2711],{"type":64,"value":519},{"type":59,"tag":469,"props":2713,"children":2715},{"className":2714,"style":600},[521],[],{"type":59,"tag":469,"props":2717,"children":2719},{"className":2718},[605],[2720],{"type":64,"value":503},{"type":59,"tag":469,"props":2722,"children":2724},{"className":2723,"style":600},[521],[],{"type":59,"tag":469,"props":2726,"children":2728},{"className":2727},[579],[2729,2733,2738],{"type":59,"tag":469,"props":2730,"children":2732},{"className":2731,"style":2098},[584],[],{"type":59,"tag":469,"props":2734,"children":2736},{"className":2735},[590],[2737],{"type":64,"value":1810},{"type":59,"tag":469,"props":2739,"children":2741},{"className":2740},[590],[2742],{"type":64,"value":2556},{"type":59,"tag":167,"props":2744,"children":2746},{"id":2745},"probability-distribution",[2747],{"type":64,"value":2748},"Probability Distribution",{"type":59,"tag":234,"props":2750,"children":2751},{},[2752,2772],{"type":59,"tag":238,"props":2753,"children":2754},{},[2755],{"type":59,"tag":45,"props":2756,"children":2757},{},[2758,2763,2767],{"type":59,"tag":245,"props":2759,"children":2760},{},[2761],{"type":64,"value":2762},"Outcome",{"type":59,"tag":245,"props":2764,"children":2765},{},[2766],{"type":64,"value":1127},{"type":59,"tag":245,"props":2768,"children":2769},{},[2770],{"type":64,"value":2771},"Cumulative",{"type":59,"tag":256,"props":2773,"children":2774},{},[2775,2791,2808],{"type":59,"tag":45,"props":2776,"children":2777},{},[2778,2783,2787],{"type":59,"tag":263,"props":2779,"children":2780},{},[2781],{"type":64,"value":2782},"Banker wins",{"type":59,"tag":263,"props":2784,"children":2785},{},[2786],{"type":64,"value":968},{"type":59,"tag":263,"props":2788,"children":2789},{},[2790],{"type":64,"value":968},{"type":59,"tag":45,"props":2792,"children":2793},{},[2794,2799,2803],{"type":59,"tag":263,"props":2795,"children":2796},{},[2797],{"type":64,"value":2798},"Player wins",{"type":59,"tag":263,"props":2800,"children":2801},{},[2802],{"type":64,"value":1053},{"type":59,"tag":263,"props":2804,"children":2805},{},[2806],{"type":64,"value":2807},"90.48%",{"type":59,"tag":45,"props":2809,"children":2810},{},[2811,2815,2819],{"type":59,"tag":263,"props":2812,"children":2813},{},[2814],{"type":64,"value":293},{"type":59,"tag":263,"props":2816,"children":2817},{},[2818],{"type":64,"value":981},{"type":59,"tag":263,"props":2820,"children":2821},{},[2822],{"type":64,"value":2823},"100%",{"type":59,"tag":167,"props":2825,"children":2827},{"id":2826},"long-term-cost",[2828],{"type":64,"value":2829},"Long-Term Cost",{"type":59,"tag":234,"props":2831,"children":2832},{},[2833,2859],{"type":59,"tag":238,"props":2834,"children":2835},{},[2836],{"type":59,"tag":45,"props":2837,"children":2838},{},[2839,2844,2849,2854],{"type":59,"tag":245,"props":2840,"children":2841},{},[2842],{"type":64,"value":2843},"Total Wagered",{"type":59,"tag":245,"props":2845,"children":2846},{},[2847],{"type":64,"value":2848},"Banker Loss",{"type":59,"tag":245,"props":2850,"children":2851},{},[2852],{"type":64,"value":2853},"Player Loss",{"type":59,"tag":245,"props":2855,"children":2856},{},[2857],{"type":64,"value":2858},"Tie Loss",{"type":59,"tag":256,"props":2860,"children":2861},{},[2862,2885,2908],{"type":59,"tag":45,"props":2863,"children":2864},{},[2865,2870,2875,2880],{"type":59,"tag":263,"props":2866,"children":2867},{},[2868],{"type":64,"value":2869},"$1,000",{"type":59,"tag":263,"props":2871,"children":2872},{},[2873],{"type":64,"value":2874},"$10.60",{"type":59,"tag":263,"props":2876,"children":2877},{},[2878],{"type":64,"value":2879},"$12.40",{"type":59,"tag":263,"props":2881,"children":2882},{},[2883],{"type":64,"value":2884},"$143.60",{"type":59,"tag":45,"props":2886,"children":2887},{},[2888,2893,2898,2903],{"type":59,"tag":263,"props":2889,"children":2890},{},[2891],{"type":64,"value":2892},"$10,000",{"type":59,"tag":263,"props":2894,"children":2895},{},[2896],{"type":64,"value":2897},"$106",{"type":59,"tag":263,"props":2899,"children":2900},{},[2901],{"type":64,"value":2902},"$124",{"type":59,"tag":263,"props":2904,"children":2905},{},[2906],{"type":64,"value":2907},"$1,436",{"type":59,"tag":45,"props":2909,"children":2910},{},[2911,2916,2921,2926],{"type":59,"tag":263,"props":2912,"children":2913},{},[2914],{"type":64,"value":2915},"$100,000",{"type":59,"tag":263,"props":2917,"children":2918},{},[2919],{"type":64,"value":2920},"$1,060",{"type":59,"tag":263,"props":2922,"children":2923},{},[2924],{"type":64,"value":2925},"$1,240",{"type":59,"tag":263,"props":2927,"children":2928},{},[2929],{"type":64,"value":2930},"$14,360",{"type":59,"tag":167,"props":2932,"children":2934},{"id":2933},"variance-and-standard-deviation",[2935],{"type":64,"value":2936},"Variance and Standard Deviation",{"type":59,"tag":469,"props":2938,"children":2940},{"className":2939},[472],[2941,2987],{"type":59,"tag":469,"props":2942,"children":2944},{"className":2943},[477],[2945],{"type":59,"tag":480,"props":2946,"children":2947},{"xmlns":482},[2948],{"type":59,"tag":485,"props":2949,"children":2950},{},[2951,2982],{"type":59,"tag":489,"props":2952,"children":2953},{},[2954,2967,2972,2977],{"type":59,"tag":2955,"props":2956,"children":2957},"msub",{},[2958,2963],{"type":59,"tag":532,"props":2959,"children":2960},{},[2961],{"type":64,"value":2962},"σ",{"type":59,"tag":493,"props":2964,"children":2965},{},[2966],{"type":64,"value":280},{"type":59,"tag":499,"props":2968,"children":2969},{},[2970],{"type":64,"value":2971},"≈",{"type":59,"tag":558,"props":2973,"children":2974},{},[2975],{"type":64,"value":2976},"0.93",{"type":59,"tag":493,"props":2978,"children":2979},{},[2980],{"type":64,"value":2981}," per unit bet",{"type":59,"tag":564,"props":2983,"children":2984},{"encoding":566},[2985],{"type":64,"value":2986},"\\sigma_{\\text{Banker}} \\approx 0.93 \\text{ per unit bet}\n",{"type":59,"tag":469,"props":2988,"children":2990},{"className":2989,"ariaHidden":574},[573],[2991,3095],{"type":59,"tag":469,"props":2992,"children":2994},{"className":2993},[579],[2995,3000,3082,3086,3091],{"type":59,"tag":469,"props":2996,"children":2999},{"className":2997,"style":2998},[584],"height:0.6331em;vertical-align:-0.15em;",[],{"type":59,"tag":469,"props":3001,"children":3003},{"className":3002},[590],[3004,3010],{"type":59,"tag":469,"props":3005,"children":3008},{"className":3006,"style":3007},[590,1602],"margin-right:0.0359em;",[3009],{"type":64,"value":2962},{"type":59,"tag":469,"props":3011,"children":3014},{"className":3012},[3013],"msupsub",[3015],{"type":59,"tag":469,"props":3016,"children":3020},{"className":3017},[3018,3019],"vlist-t","vlist-t2",[3021,3070],{"type":59,"tag":469,"props":3022,"children":3025},{"className":3023},[3024],"vlist-r",[3026,3063],{"type":59,"tag":469,"props":3027,"children":3031},{"className":3028,"style":3030},[3029],"vlist","height:0.3361em;",[3032],{"type":59,"tag":469,"props":3033,"children":3035},{"style":3034},"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;",[3036,3042],{"type":59,"tag":469,"props":3037,"children":3041},{"className":3038,"style":3040},[3039],"pstrut","height:2.7em;",[],{"type":59,"tag":469,"props":3043,"children":3049},{"className":3044},[3045,3046,3047,3048],"sizing","reset-size6","size3","mtight",[3050],{"type":59,"tag":469,"props":3051,"children":3053},{"className":3052},[590,3048],[3054],{"type":59,"tag":469,"props":3055,"children":3057},{"className":3056},[590,64,3048],[3058],{"type":59,"tag":469,"props":3059,"children":3061},{"className":3060},[590,3048],[3062],{"type":64,"value":280},{"type":59,"tag":469,"props":3064,"children":3067},{"className":3065},[3066],"vlist-s",[3068],{"type":64,"value":3069},"​",{"type":59,"tag":469,"props":3071,"children":3073},{"className":3072},[3024],[3074],{"type":59,"tag":469,"props":3075,"children":3078},{"className":3076,"style":3077},[3029],"height:0.15em;",[3079],{"type":59,"tag":469,"props":3080,"children":3081},{},[],{"type":59,"tag":469,"props":3083,"children":3085},{"className":3084,"style":600},[521],[],{"type":59,"tag":469,"props":3087,"children":3089},{"className":3088},[605],[3090],{"type":64,"value":2971},{"type":59,"tag":469,"props":3092,"children":3094},{"className":3093,"style":600},[521],[],{"type":59,"tag":469,"props":3096,"children":3098},{"className":3097},[579],[3099,3104,3109],{"type":59,"tag":469,"props":3100,"children":3103},{"className":3101,"style":3102},[584],"height:0.8889em;vertical-align:-0.1944em;",[],{"type":59,"tag":469,"props":3105,"children":3107},{"className":3106},[590],[3108],{"type":64,"value":2976},{"type":59,"tag":469,"props":3110,"children":3112},{"className":3111},[590,64],[3113],{"type":59,"tag":469,"props":3114,"children":3116},{"className":3115},[590],[3117],{"type":64,"value":2981},{"type":59,"tag":469,"props":3119,"children":3121},{"className":3120},[472],[3122,3163],{"type":59,"tag":469,"props":3123,"children":3125},{"className":3124},[477],[3126],{"type":59,"tag":480,"props":3127,"children":3128},{"xmlns":482},[3129],{"type":59,"tag":485,"props":3130,"children":3131},{},[3132,3158],{"type":59,"tag":489,"props":3133,"children":3134},{},[3135,3146,3150,3154],{"type":59,"tag":2955,"props":3136,"children":3137},{},[3138,3142],{"type":59,"tag":532,"props":3139,"children":3140},{},[3141],{"type":64,"value":2962},{"type":59,"tag":493,"props":3143,"children":3144},{},[3145],{"type":64,"value":267},{"type":59,"tag":499,"props":3147,"children":3148},{},[3149],{"type":64,"value":2971},{"type":59,"tag":558,"props":3151,"children":3152},{},[3153],{"type":64,"value":1784},{"type":59,"tag":493,"props":3155,"children":3156},{},[3157],{"type":64,"value":2981},{"type":59,"tag":564,"props":3159,"children":3160},{"encoding":566},[3161],{"type":64,"value":3162},"\\sigma_{\\text{Player}} \\approx 0.95 \\text{ per unit bet}\n",{"type":59,"tag":469,"props":3164,"children":3166},{"className":3165,"ariaHidden":574},[573],[3167,3255],{"type":59,"tag":469,"props":3168,"children":3170},{"className":3169},[579],[3171,3176,3242,3246,3251],{"type":59,"tag":469,"props":3172,"children":3175},{"className":3173,"style":3174},[584],"height:0.7692em;vertical-align:-0.2861em;",[],{"type":59,"tag":469,"props":3177,"children":3179},{"className":3178},[590],[3180,3185],{"type":59,"tag":469,"props":3181,"children":3183},{"className":3182,"style":3007},[590,1602],[3184],{"type":64,"value":2962},{"type":59,"tag":469,"props":3186,"children":3188},{"className":3187},[3013],[3189],{"type":59,"tag":469,"props":3190,"children":3192},{"className":3191},[3018,3019],[3193,3230],{"type":59,"tag":469,"props":3194,"children":3196},{"className":3195},[3024],[3197,3225],{"type":59,"tag":469,"props":3198,"children":3200},{"className":3199,"style":3030},[3029],[3201],{"type":59,"tag":469,"props":3202,"children":3203},{"style":3034},[3204,3208],{"type":59,"tag":469,"props":3205,"children":3207},{"className":3206,"style":3040},[3039],[],{"type":59,"tag":469,"props":3209,"children":3211},{"className":3210},[3045,3046,3047,3048],[3212],{"type":59,"tag":469,"props":3213,"children":3215},{"className":3214},[590,3048],[3216],{"type":59,"tag":469,"props":3217,"children":3219},{"className":3218},[590,64,3048],[3220],{"type":59,"tag":469,"props":3221,"children":3223},{"className":3222},[590,3048],[3224],{"type":64,"value":267},{"type":59,"tag":469,"props":3226,"children":3228},{"className":3227},[3066],[3229],{"type":64,"value":3069},{"type":59,"tag":469,"props":3231,"children":3233},{"className":3232},[3024],[3234],{"type":59,"tag":469,"props":3235,"children":3238},{"className":3236,"style":3237},[3029],"height:0.2861em;",[3239],{"type":59,"tag":469,"props":3240,"children":3241},{},[],{"type":59,"tag":469,"props":3243,"children":3245},{"className":3244,"style":600},[521],[],{"type":59,"tag":469,"props":3247,"children":3249},{"className":3248},[605],[3250],{"type":64,"value":2971},{"type":59,"tag":469,"props":3252,"children":3254},{"className":3253,"style":600},[521],[],{"type":59,"tag":469,"props":3256,"children":3258},{"className":3257},[579],[3259,3263,3268],{"type":59,"tag":469,"props":3260,"children":3262},{"className":3261,"style":3102},[584],[],{"type":59,"tag":469,"props":3264,"children":3266},{"className":3265},[590],[3267],{"type":64,"value":1784},{"type":59,"tag":469,"props":3269,"children":3271},{"className":3270},[590,64],[3272],{"type":59,"tag":469,"props":3273,"children":3275},{"className":3274},[590],[3276],{"type":64,"value":2981},{"type":59,"tag":66,"props":3278,"children":3279},{},[3280],{"type":64,"value":3281},"Baccarat has relatively low variance compared to slots, making results more predictable.",{"type":59,"tag":167,"props":3283,"children":3285},{"id":3284},"calculating-commission-impact",[3286],{"type":64,"value":3287},"Calculating Commission Impact",{"type":59,"tag":469,"props":3289,"children":3291},{"className":3290},[472],[3292,3375],{"type":59,"tag":469,"props":3293,"children":3295},{"className":3294},[477],[3296],{"type":59,"tag":480,"props":3297,"children":3298},{"xmlns":482},[3299],{"type":59,"tag":485,"props":3300,"children":3301},{},[3302,3370],{"type":59,"tag":489,"props":3303,"children":3304},{},[3305,3310,3314,3318,3322,3326,3330,3334,3338,3342,3346,3350,3354,3358,3362,3366],{"type":59,"tag":493,"props":3306,"children":3307},{},[3308],{"type":64,"value":3309},"No-Commission Banker EV",{"type":59,"tag":499,"props":3311,"children":3312},{},[3313],{"type":64,"value":503},{"type":59,"tag":499,"props":3315,"children":3316},{"stretchy":506},[3317],{"type":64,"value":509},{"type":59,"tag":558,"props":3319,"children":3320},{},[3321],{"type":64,"value":1550},{"type":59,"tag":499,"props":3323,"children":3324},{},[3325],{"type":64,"value":1779},{"type":59,"tag":558,"props":3327,"children":3328},{},[3329],{"type":64,"value":1815},{"type":59,"tag":499,"props":3331,"children":3332},{"stretchy":506},[3333],{"type":64,"value":519},{"type":59,"tag":499,"props":3335,"children":3336},{},[3337],{"type":64,"value":1810},{"type":59,"tag":499,"props":3339,"children":3340},{"stretchy":506},[3341],{"type":64,"value":509},{"type":59,"tag":558,"props":3343,"children":3344},{},[3345],{"type":64,"value":1581},{"type":59,"tag":499,"props":3347,"children":3348},{},[3349],{"type":64,"value":1779},{"type":59,"tag":558,"props":3351,"children":3352},{},[3353],{"type":64,"value":1815},{"type":59,"tag":499,"props":3355,"children":3356},{"stretchy":506},[3357],{"type":64,"value":519},{"type":59,"tag":499,"props":3359,"children":3360},{},[3361],{"type":64,"value":503},{"type":59,"tag":499,"props":3363,"children":3364},{},[3365],{"type":64,"value":1793},{"type":59,"tag":558,"props":3367,"children":3368},{},[3369],{"type":64,"value":2220},{"type":59,"tag":564,"props":3371,"children":3372},{"encoding":566},[3373],{"type":64,"value":3374},"\\text{No-Commission Banker EV} = (0.4586 \\times 1) - (0.4462 \\times 1) = +0.0124\n",{"type":59,"tag":469,"props":3376,"children":3378},{"className":3377,"ariaHidden":574},[573],[3379,3409,3440,3471,3502,3533],{"type":59,"tag":469,"props":3380,"children":3382},{"className":3381},[579],[3383,3387,3396,3400,3405],{"type":59,"tag":469,"props":3384,"children":3386},{"className":3385,"style":585},[584],[],{"type":59,"tag":469,"props":3388,"children":3390},{"className":3389},[590,64],[3391],{"type":59,"tag":469,"props":3392,"children":3394},{"className":3393},[590],[3395],{"type":64,"value":3309},{"type":59,"tag":469,"props":3397,"children":3399},{"className":3398,"style":600},[521],[],{"type":59,"tag":469,"props":3401,"children":3403},{"className":3402},[605],[3404],{"type":64,"value":503},{"type":59,"tag":469,"props":3406,"children":3408},{"className":3407,"style":600},[521],[],{"type":59,"tag":469,"props":3410,"children":3412},{"className":3411},[579],[3413,3417,3422,3427,3431,3436],{"type":59,"tag":469,"props":3414,"children":3416},{"className":3415,"style":619},[584],[],{"type":59,"tag":469,"props":3418,"children":3420},{"className":3419},[624],[3421],{"type":64,"value":509},{"type":59,"tag":469,"props":3423,"children":3425},{"className":3424},[590],[3426],{"type":64,"value":1550},{"type":59,"tag":469,"props":3428,"children":3430},{"className":3429,"style":1919},[521],[],{"type":59,"tag":469,"props":3432,"children":3434},{"className":3433},[1924],[3435],{"type":64,"value":1779},{"type":59,"tag":469,"props":3437,"children":3439},{"className":3438,"style":1919},[521],[],{"type":59,"tag":469,"props":3441,"children":3443},{"className":3442},[579],[3444,3448,3453,3458,3462,3467],{"type":59,"tag":469,"props":3445,"children":3447},{"className":3446,"style":619},[584],[],{"type":59,"tag":469,"props":3449,"children":3451},{"className":3450},[590],[3452],{"type":64,"value":1815},{"type":59,"tag":469,"props":3454,"children":3456},{"className":3455},[639],[3457],{"type":64,"value":519},{"type":59,"tag":469,"props":3459,"children":3461},{"className":3460,"style":1919},[521],[],{"type":59,"tag":469,"props":3463,"children":3465},{"className":3464},[1924],[3466],{"type":64,"value":1810},{"type":59,"tag":469,"props":3468,"children":3470},{"className":3469,"style":1919},[521],[],{"type":59,"tag":469,"props":3472,"children":3474},{"className":3473},[579],[3475,3479,3484,3489,3493,3498],{"type":59,"tag":469,"props":3476,"children":3478},{"className":3477,"style":619},[584],[],{"type":59,"tag":469,"props":3480,"children":3482},{"className":3481},[624],[3483],{"type":64,"value":509},{"type":59,"tag":469,"props":3485,"children":3487},{"className":3486},[590],[3488],{"type":64,"value":1581},{"type":59,"tag":469,"props":3490,"children":3492},{"className":3491,"style":1919},[521],[],{"type":59,"tag":469,"props":3494,"children":3496},{"className":3495},[1924],[3497],{"type":64,"value":1779},{"type":59,"tag":469,"props":3499,"children":3501},{"className":3500,"style":1919},[521],[],{"type":59,"tag":469,"props":3503,"children":3505},{"className":3504},[579],[3506,3510,3515,3520,3524,3529],{"type":59,"tag":469,"props":3507,"children":3509},{"className":3508,"style":619},[584],[],{"type":59,"tag":469,"props":3511,"children":3513},{"className":3512},[590],[3514],{"type":64,"value":1815},{"type":59,"tag":469,"props":3516,"children":3518},{"className":3517},[639],[3519],{"type":64,"value":519},{"type":59,"tag":469,"props":3521,"children":3523},{"className":3522,"style":600},[521],[],{"type":59,"tag":469,"props":3525,"children":3527},{"className":3526},[605],[3528],{"type":64,"value":503},{"type":59,"tag":469,"props":3530,"children":3532},{"className":3531,"style":600},[521],[],{"type":59,"tag":469,"props":3534,"children":3536},{"className":3535},[579],[3537,3541,3546],{"type":59,"tag":469,"props":3538,"children":3540},{"className":3539,"style":2098},[584],[],{"type":59,"tag":469,"props":3542,"children":3544},{"className":3543},[590],[3545],{"type":64,"value":1793},{"type":59,"tag":469,"props":3547,"children":3549},{"className":3548},[590],[3550],{"type":64,"value":2220},{"type":59,"tag":66,"props":3552,"children":3553},{},[3554],{"type":64,"value":3555},"Without commission, Banker would have 1.24% player edge—hence the 5% tax on wins.",{"type":59,"tag":60,"props":3557,"children":3559},{"id":3558},"baccarat-variants-variants",[3560],{"type":64,"value":3561},"Baccarat Variants {#variants}",{"type":59,"tag":167,"props":3563,"children":3565},{"id":3564},"mini-baccarat",[3566],{"type":64,"value":3567},"Mini Baccarat",{"type":59,"tag":234,"props":3569,"children":3570},{},[3571,3591],{"type":59,"tag":238,"props":3572,"children":3573},{},[3574],{"type":59,"tag":45,"props":3575,"children":3576},{},[3577,3582,3586],{"type":59,"tag":245,"props":3578,"children":3579},{},[3580],{"type":64,"value":3581},"Feature",{"type":59,"tag":245,"props":3583,"children":3584},{},[3585],{"type":64,"value":3567},{"type":59,"tag":245,"props":3587,"children":3588},{},[3589],{"type":64,"value":3590},"Full Baccarat",{"type":59,"tag":256,"props":3592,"children":3593},{},[3594,3612,3630,3648,3666,3684],{"type":59,"tag":45,"props":3595,"children":3596},{},[3597,3602,3607],{"type":59,"tag":263,"props":3598,"children":3599},{},[3600],{"type":64,"value":3601},"Table size",{"type":59,"tag":263,"props":3603,"children":3604},{},[3605],{"type":64,"value":3606},"Small (7 players)",{"type":59,"tag":263,"props":3608,"children":3609},{},[3610],{"type":64,"value":3611},"Large (14 players)",{"type":59,"tag":45,"props":3613,"children":3614},{},[3615,3620,3625],{"type":59,"tag":263,"props":3616,"children":3617},{},[3618],{"type":64,"value":3619},"Dealer",{"type":59,"tag":263,"props":3621,"children":3622},{},[3623],{"type":64,"value":3624},"One, handles all",{"type":59,"tag":263,"props":3626,"children":3627},{},[3628],{"type":64,"value":3629},"Three dealers",{"type":59,"tag":45,"props":3631,"children":3632},{},[3633,3638,3643],{"type":59,"tag":263,"props":3634,"children":3635},{},[3636],{"type":64,"value":3637},"Speed",{"type":59,"tag":263,"props":3639,"children":3640},{},[3641],{"type":64,"value":3642},"Fast (200+ hands\u002Fhr)",{"type":59,"tag":263,"props":3644,"children":3645},{},[3646],{"type":64,"value":3647},"Slow (40-60 hands\u002Fhr)",{"type":59,"tag":45,"props":3649,"children":3650},{},[3651,3656,3661],{"type":59,"tag":263,"props":3652,"children":3653},{},[3654],{"type":64,"value":3655},"Minimums",{"type":59,"tag":263,"props":3657,"children":3658},{},[3659],{"type":64,"value":3660},"$10-25",{"type":59,"tag":263,"props":3662,"children":3663},{},[3664],{"type":64,"value":3665},"$100-500+",{"type":59,"tag":45,"props":3667,"children":3668},{},[3669,3674,3679],{"type":59,"tag":263,"props":3670,"children":3671},{},[3672],{"type":64,"value":3673},"Card handling",{"type":59,"tag":263,"props":3675,"children":3676},{},[3677],{"type":64,"value":3678},"Dealer only",{"type":59,"tag":263,"props":3680,"children":3681},{},[3682],{"type":64,"value":3683},"Players may touch",{"type":59,"tag":45,"props":3685,"children":3686},{},[3687,3691,3696],{"type":59,"tag":263,"props":3688,"children":3689},{},[3690],{"type":64,"value":950},{"type":59,"tag":263,"props":3692,"children":3693},{},[3694],{"type":64,"value":3695},"Same",{"type":59,"tag":263,"props":3697,"children":3698},{},[3699],{"type":64,"value":3695},{"type":59,"tag":66,"props":3701,"children":3702},{},[3703],{"type":64,"value":3704},"Mini baccarat has identical odds but faster pace—higher hourly loss rate.",{"type":59,"tag":167,"props":3706,"children":3708},{"id":3707},"midi-baccarat",[3709],{"type":64,"value":3710},"Midi Baccarat",{"type":59,"tag":66,"props":3712,"children":3713},{},[3714],{"type":64,"value":3715},"Middle ground between mini and full baccarat:",{"type":59,"tag":83,"props":3717,"children":3718},{},[3719,3724,3729,3734],{"type":59,"tag":87,"props":3720,"children":3721},{},[3722],{"type":64,"value":3723},"9 player positions",{"type":59,"tag":87,"props":3725,"children":3726},{},[3727],{"type":64,"value":3728},"Players can touch cards on highest bet",{"type":59,"tag":87,"props":3730,"children":3731},{},[3732],{"type":64,"value":3733},"Moderate pace",{"type":59,"tag":87,"props":3735,"children":3736},{},[3737],{"type":64,"value":3738},"Medium minimums",{"type":59,"tag":167,"props":3740,"children":3742},{"id":3741},"chemin-de-fer",[3743],{"type":64,"value":3744},"Chemin de Fer",{"type":59,"tag":234,"props":3746,"children":3747},{},[3748,3763],{"type":59,"tag":238,"props":3749,"children":3750},{},[3751],{"type":59,"tag":45,"props":3752,"children":3753},{},[3754,3758],{"type":59,"tag":245,"props":3755,"children":3756},{},[3757],{"type":64,"value":3581},{"type":59,"tag":245,"props":3759,"children":3760},{},[3761],{"type":64,"value":3762},"Detail",{"type":59,"tag":256,"props":3764,"children":3765},{},[3766,3779,3792,3805,3818],{"type":59,"tag":45,"props":3767,"children":3768},{},[3769,3774],{"type":59,"tag":263,"props":3770,"children":3771},{},[3772],{"type":64,"value":3773},"Banking",{"type":59,"tag":263,"props":3775,"children":3776},{},[3777],{"type":64,"value":3778},"Players take turns as Banker",{"type":59,"tag":45,"props":3780,"children":3781},{},[3782,3787],{"type":59,"tag":263,"props":3783,"children":3784},{},[3785],{"type":64,"value":3786},"Decisions",{"type":59,"tag":263,"props":3788,"children":3789},{},[3790],{"type":64,"value":3791},"Players can choose to draw",{"type":59,"tag":45,"props":3793,"children":3794},{},[3795,3800],{"type":59,"tag":263,"props":3796,"children":3797},{},[3798],{"type":64,"value":3799},"Commission",{"type":59,"tag":263,"props":3801,"children":3802},{},[3803],{"type":64,"value":3804},"5% on Banker wins",{"type":59,"tag":45,"props":3806,"children":3807},{},[3808,3813],{"type":59,"tag":263,"props":3809,"children":3810},{},[3811],{"type":64,"value":3812},"House role",{"type":59,"tag":263,"props":3814,"children":3815},{},[3816],{"type":64,"value":3817},"Facilitator only",{"type":59,"tag":45,"props":3819,"children":3820},{},[3821,3826],{"type":59,"tag":263,"props":3822,"children":3823},{},[3824],{"type":64,"value":3825},"Common in",{"type":59,"tag":263,"props":3827,"children":3828},{},[3829],{"type":64,"value":3830},"European casinos",{"type":59,"tag":66,"props":3832,"children":3833},{},[3834],{"type":64,"value":3835},"Player decisions make Chemin de Fer slightly different mathematically.",{"type":59,"tag":167,"props":3837,"children":3839},{"id":3838},"ez-baccarat",[3840],{"type":64,"value":3841},"EZ Baccarat",{"type":59,"tag":234,"props":3843,"children":3844},{},[3845,3859],{"type":59,"tag":238,"props":3846,"children":3847},{},[3848],{"type":59,"tag":45,"props":3849,"children":3850},{},[3851,3855],{"type":59,"tag":245,"props":3852,"children":3853},{},[3854],{"type":64,"value":3581},{"type":59,"tag":245,"props":3856,"children":3857},{},[3858],{"type":64,"value":3762},{"type":59,"tag":256,"props":3860,"children":3861},{},[3862,3874,3887,3900],{"type":59,"tag":45,"props":3863,"children":3864},{},[3865,3869],{"type":59,"tag":263,"props":3866,"children":3867},{},[3868],{"type":64,"value":3799},{"type":59,"tag":263,"props":3870,"children":3871},{},[3872],{"type":64,"value":3873},"None",{"type":59,"tag":45,"props":3875,"children":3876},{},[3877,3882],{"type":59,"tag":263,"props":3878,"children":3879},{},[3880],{"type":64,"value":3881},"Dragon 7",{"type":59,"tag":263,"props":3883,"children":3884},{},[3885],{"type":64,"value":3886},"Banker wins with 3-card 7 = push",{"type":59,"tag":45,"props":3888,"children":3889},{},[3890,3895],{"type":59,"tag":263,"props":3891,"children":3892},{},[3893],{"type":64,"value":3894},"Panda 8",{"type":59,"tag":263,"props":3896,"children":3897},{},[3898],{"type":64,"value":3899},"Side bet on Player 3-card 8",{"type":59,"tag":45,"props":3901,"children":3902},{},[3903,3907],{"type":59,"tag":263,"props":3904,"children":3905},{},[3906],{"type":64,"value":950},{"type":59,"tag":263,"props":3908,"children":3909},{},[3910],{"type":64,"value":3911},"1.02% (Banker), 1.24% (Player)",{"type":59,"tag":66,"props":3913,"children":3914},{},[3915],{"type":64,"value":3916},"Eliminates commission but Banker pushes on specific outcomes.",{"type":59,"tag":167,"props":3918,"children":3920},{"id":3919},"speed-baccarat",[3921],{"type":64,"value":3922},"Speed Baccarat",{"type":59,"tag":234,"props":3924,"children":3925},{},[3926,3940],{"type":59,"tag":238,"props":3927,"children":3928},{},[3929],{"type":59,"tag":45,"props":3930,"children":3931},{},[3932,3936],{"type":59,"tag":245,"props":3933,"children":3934},{},[3935],{"type":64,"value":3581},{"type":59,"tag":245,"props":3937,"children":3938},{},[3939],{"type":64,"value":3762},{"type":59,"tag":256,"props":3941,"children":3942},{},[3943,3956,3969,3981],{"type":59,"tag":45,"props":3944,"children":3945},{},[3946,3951],{"type":59,"tag":263,"props":3947,"children":3948},{},[3949],{"type":64,"value":3950},"Betting time",{"type":59,"tag":263,"props":3952,"children":3953},{},[3954],{"type":64,"value":3955},"10-12 seconds",{"type":59,"tag":45,"props":3957,"children":3958},{},[3959,3964],{"type":59,"tag":263,"props":3960,"children":3961},{},[3962],{"type":64,"value":3963},"Hands per hour",{"type":59,"tag":263,"props":3965,"children":3966},{},[3967],{"type":64,"value":3968},"120-180",{"type":59,"tag":45,"props":3970,"children":3971},{},[3972,3976],{"type":59,"tag":263,"props":3973,"children":3974},{},[3975],{"type":64,"value":707},{"type":59,"tag":263,"props":3977,"children":3978},{},[3979],{"type":64,"value":3980},"Face-up immediately",{"type":59,"tag":45,"props":3982,"children":3983},{},[3984,3989],{"type":59,"tag":263,"props":3985,"children":3986},{},[3987],{"type":64,"value":3988},"Best for",{"type":59,"tag":263,"props":3990,"children":3991},{},[3992],{"type":64,"value":3993},"Experienced players",{"type":59,"tag":167,"props":3995,"children":3997},{"id":3996},"live-dealer-squeeze",[3998],{"type":64,"value":3999},"Live Dealer Squeeze",{"type":59,"tag":234,"props":4001,"children":4002},{},[4003,4017],{"type":59,"tag":238,"props":4004,"children":4005},{},[4006],{"type":59,"tag":45,"props":4007,"children":4008},{},[4009,4013],{"type":59,"tag":245,"props":4010,"children":4011},{},[4012],{"type":64,"value":3581},{"type":59,"tag":245,"props":4014,"children":4015},{},[4016],{"type":64,"value":3762},{"type":59,"tag":256,"props":4018,"children":4019},{},[4020,4033,4046,4059],{"type":59,"tag":45,"props":4021,"children":4022},{},[4023,4028],{"type":59,"tag":263,"props":4024,"children":4025},{},[4026],{"type":64,"value":4027},"Card reveal",{"type":59,"tag":263,"props":4029,"children":4030},{},[4031],{"type":64,"value":4032},"Dramatic slow reveal",{"type":59,"tag":45,"props":4034,"children":4035},{},[4036,4041],{"type":59,"tag":263,"props":4037,"children":4038},{},[4039],{"type":64,"value":4040},"Interaction",{"type":59,"tag":263,"props":4042,"children":4043},{},[4044],{"type":64,"value":4045},"Chat with dealer",{"type":59,"tag":45,"props":4047,"children":4048},{},[4049,4054],{"type":59,"tag":263,"props":4050,"children":4051},{},[4052],{"type":64,"value":4053},"Pace",{"type":59,"tag":263,"props":4055,"children":4056},{},[4057],{"type":64,"value":4058},"Slower for suspense",{"type":59,"tag":45,"props":4060,"children":4061},{},[4062,4067],{"type":59,"tag":263,"props":4063,"children":4064},{},[4065],{"type":64,"value":4066},"Appeal",{"type":59,"tag":263,"props":4068,"children":4069},{},[4070],{"type":64,"value":4071},"Entertainment value",{"type":59,"tag":60,"props":4073,"children":4075},{"id":4074},"strategy-and-myths-strategy",[4076],{"type":64,"value":4077},"Strategy and Myths {#strategy}",{"type":59,"tag":167,"props":4079,"children":4081},{"id":4080},"the-only-real-strategy",[4082],{"type":64,"value":4083},"The Only Real Strategy",{"type":59,"tag":234,"props":4085,"children":4086},{},[4087,4102],{"type":59,"tag":238,"props":4088,"children":4089},{},[4090],{"type":59,"tag":45,"props":4091,"children":4092},{},[4093,4098],{"type":59,"tag":245,"props":4094,"children":4095},{},[4096],{"type":64,"value":4097},"Strategy",{"type":59,"tag":245,"props":4099,"children":4100},{},[4101],{"type":64,"value":1175},{"type":59,"tag":256,"props":4103,"children":4104},{},[4105,4118,4131,4144],{"type":59,"tag":45,"props":4106,"children":4107},{},[4108,4113],{"type":59,"tag":263,"props":4109,"children":4110},{},[4111],{"type":64,"value":4112},"Always bet Banker",{"type":59,"tag":263,"props":4114,"children":4115},{},[4116],{"type":64,"value":4117},"Best mathematical approach",{"type":59,"tag":45,"props":4119,"children":4120},{},[4121,4126],{"type":59,"tag":263,"props":4122,"children":4123},{},[4124],{"type":64,"value":4125},"Never bet Tie",{"type":59,"tag":263,"props":4127,"children":4128},{},[4129],{"type":64,"value":4130},"14% edge is unacceptable",{"type":59,"tag":45,"props":4132,"children":4133},{},[4134,4139],{"type":59,"tag":263,"props":4135,"children":4136},{},[4137],{"type":64,"value":4138},"Ignore patterns",{"type":59,"tag":263,"props":4140,"children":4141},{},[4142],{"type":64,"value":4143},"Previous results don't predict future",{"type":59,"tag":45,"props":4145,"children":4146},{},[4147,4152],{"type":59,"tag":263,"props":4148,"children":4149},{},[4150],{"type":64,"value":4151},"Manage bankroll",{"type":59,"tag":263,"props":4153,"children":4154},{},[4155],{"type":64,"value":4156},"Set loss limits, stick to them",{"type":59,"tag":167,"props":4158,"children":4160},{"id":4159},"scorecard-myths",[4161],{"type":64,"value":4162},"Scorecard Myths",{"type":59,"tag":234,"props":4164,"children":4165},{},[4166,4182],{"type":59,"tag":238,"props":4167,"children":4168},{},[4169],{"type":59,"tag":45,"props":4170,"children":4171},{},[4172,4177],{"type":59,"tag":245,"props":4173,"children":4174},{},[4175],{"type":64,"value":4176},"Myth",{"type":59,"tag":245,"props":4178,"children":4179},{},[4180],{"type":64,"value":4181},"Reality",{"type":59,"tag":256,"props":4183,"children":4184},{},[4185,4198,4211,4224],{"type":59,"tag":45,"props":4186,"children":4187},{},[4188,4193],{"type":59,"tag":263,"props":4189,"children":4190},{},[4191],{"type":64,"value":4192},"\"Banker streak continues\"",{"type":59,"tag":263,"props":4194,"children":4195},{},[4196],{"type":64,"value":4197},"Each hand independent, 45.86% always",{"type":59,"tag":45,"props":4199,"children":4200},{},[4201,4206],{"type":59,"tag":263,"props":4202,"children":4203},{},[4204],{"type":64,"value":4205},"\"Player due after losses\"",{"type":59,"tag":263,"props":4207,"children":4208},{},[4209],{"type":64,"value":4210},"Gambler's fallacy - no memory",{"type":59,"tag":45,"props":4212,"children":4213},{},[4214,4219],{"type":59,"tag":263,"props":4215,"children":4216},{},[4217],{"type":64,"value":4218},"\"Patterns predict outcomes\"",{"type":59,"tag":263,"props":4220,"children":4221},{},[4222],{"type":64,"value":4223},"Random results show apparent patterns",{"type":59,"tag":45,"props":4225,"children":4226},{},[4227,4232],{"type":59,"tag":263,"props":4228,"children":4229},{},[4230],{"type":64,"value":4231},"\"Choppy tables favor Player\"",{"type":59,"tag":263,"props":4233,"children":4234},{},[4235],{"type":64,"value":4236},"No predictive value",{"type":59,"tag":167,"props":4238,"children":4240},{"id":4239},"betting-systems-analysis",[4241],{"type":64,"value":4242},"Betting Systems Analysis",{"type":59,"tag":234,"props":4244,"children":4245},{},[4246,4271],{"type":59,"tag":238,"props":4247,"children":4248},{},[4249],{"type":59,"tag":45,"props":4250,"children":4251},{},[4252,4257,4262,4267],{"type":59,"tag":245,"props":4253,"children":4254},{},[4255],{"type":64,"value":4256},"System",{"type":59,"tag":245,"props":4258,"children":4259},{},[4260],{"type":64,"value":4261},"Short-Term",{"type":59,"tag":245,"props":4263,"children":4264},{},[4265],{"type":64,"value":4266},"Long-Term",{"type":59,"tag":245,"props":4268,"children":4269},{},[4270],{"type":64,"value":51},{"type":59,"tag":256,"props":4272,"children":4273},{},[4274,4297,4319,4341],{"type":59,"tag":45,"props":4275,"children":4276},{},[4277,4282,4287,4292],{"type":59,"tag":263,"props":4278,"children":4279},{},[4280],{"type":64,"value":4281},"Martingale",{"type":59,"tag":263,"props":4283,"children":4284},{},[4285],{"type":64,"value":4286},"Frequent small wins",{"type":59,"tag":263,"props":4288,"children":4289},{},[4290],{"type":64,"value":4291},"Rare catastrophic loss",{"type":59,"tag":263,"props":4293,"children":4294},{},[4295],{"type":64,"value":4296},"Unchanged",{"type":59,"tag":45,"props":4298,"children":4299},{},[4300,4305,4310,4315],{"type":59,"tag":263,"props":4301,"children":4302},{},[4303],{"type":64,"value":4304},"Paroli",{"type":59,"tag":263,"props":4306,"children":4307},{},[4308],{"type":64,"value":4309},"Ride winning streaks",{"type":59,"tag":263,"props":4311,"children":4312},{},[4313],{"type":64,"value":4314},"Same expected loss",{"type":59,"tag":263,"props":4316,"children":4317},{},[4318],{"type":64,"value":4296},{"type":59,"tag":45,"props":4320,"children":4321},{},[4322,4327,4332,4337],{"type":59,"tag":263,"props":4323,"children":4324},{},[4325],{"type":64,"value":4326},"Flat betting",{"type":59,"tag":263,"props":4328,"children":4329},{},[4330],{"type":64,"value":4331},"Steady",{"type":59,"tag":263,"props":4333,"children":4334},{},[4335],{"type":64,"value":4336},"Steady loss",{"type":59,"tag":263,"props":4338,"children":4339},{},[4340],{"type":64,"value":4296},{"type":59,"tag":45,"props":4342,"children":4343},{},[4344,4349,4354,4359],{"type":59,"tag":263,"props":4345,"children":4346},{},[4347],{"type":64,"value":4348},"Card counting",{"type":59,"tag":263,"props":4350,"children":4351},{},[4352],{"type":64,"value":4353},"Minimal edge",{"type":59,"tag":263,"props":4355,"children":4356},{},[4357],{"type":64,"value":4358},"Not worth effort",{"type":59,"tag":263,"props":4360,"children":4361},{},[4362],{"type":64,"value":4363},"~0.01% improvement",{"type":59,"tag":167,"props":4365,"children":4367},{"id":4366},"card-counting-in-baccarat",[4368],{"type":64,"value":4369},"Card Counting in Baccarat",{"type":59,"tag":469,"props":4371,"children":4373},{"className":4372},[472],[4374,4411],{"type":59,"tag":469,"props":4375,"children":4377},{"className":4376},[477],[4378],{"type":59,"tag":480,"props":4379,"children":4380},{"xmlns":482},[4381],{"type":59,"tag":485,"props":4382,"children":4383},{},[4384,4406],{"type":59,"tag":489,"props":4385,"children":4386},{},[4387,4392,4396,4401],{"type":59,"tag":493,"props":4388,"children":4389},{},[4390],{"type":64,"value":4391},"Maximum Edge from Counting",{"type":59,"tag":499,"props":4393,"children":4394},{},[4395],{"type":64,"value":2971},{"type":59,"tag":558,"props":4397,"children":4398},{},[4399],{"type":64,"value":4400},"0.15",{"type":59,"tag":532,"props":4402,"children":4403},{"mathvariant":534},[4404],{"type":64,"value":4405},"%",{"type":59,"tag":564,"props":4407,"children":4408},{"encoding":566},[4409],{"type":64,"value":4410},"\\text{Maximum Edge from Counting} \\approx 0.15\\%\n",{"type":59,"tag":469,"props":4412,"children":4414},{"className":4413,"ariaHidden":574},[573],[4415,4445],{"type":59,"tag":469,"props":4416,"children":4418},{"className":4417},[579],[4419,4423,4432,4436,4441],{"type":59,"tag":469,"props":4420,"children":4422},{"className":4421,"style":3102},[584],[],{"type":59,"tag":469,"props":4424,"children":4426},{"className":4425},[590,64],[4427],{"type":59,"tag":469,"props":4428,"children":4430},{"className":4429},[590],[4431],{"type":64,"value":4391},{"type":59,"tag":469,"props":4433,"children":4435},{"className":4434,"style":600},[521],[],{"type":59,"tag":469,"props":4437,"children":4439},{"className":4438},[605],[4440],{"type":64,"value":2971},{"type":59,"tag":469,"props":4442,"children":4444},{"className":4443,"style":600},[521],[],{"type":59,"tag":469,"props":4446,"children":4448},{"className":4447},[579],[4449,4454],{"type":59,"tag":469,"props":4450,"children":4453},{"className":4451,"style":4452},[584],"height:0.8056em;vertical-align:-0.0556em;",[],{"type":59,"tag":469,"props":4455,"children":4457},{"className":4456},[590],[4458],{"type":64,"value":4459},"0.15%",{"type":59,"tag":66,"props":4461,"children":4462},{},[4463],{"type":64,"value":4464},"Unlike blackjack's 1-2% edge, baccarat counting provides negligible advantage:",{"type":59,"tag":234,"props":4466,"children":4467},{},[4468,4488],{"type":59,"tag":238,"props":4469,"children":4470},{},[4471],{"type":59,"tag":45,"props":4472,"children":4473},{},[4474,4479,4484],{"type":59,"tag":245,"props":4475,"children":4476},{},[4477],{"type":64,"value":4478},"Factor",{"type":59,"tag":245,"props":4480,"children":4481},{},[4482],{"type":64,"value":4483},"Blackjack",{"type":59,"tag":245,"props":4485,"children":4486},{},[4487],{"type":64,"value":24},{"type":59,"tag":256,"props":4489,"children":4490},{},[4491,4509,4527,4545],{"type":59,"tag":45,"props":4492,"children":4493},{},[4494,4499,4504],{"type":59,"tag":263,"props":4495,"children":4496},{},[4497],{"type":64,"value":4498},"Potential edge",{"type":59,"tag":263,"props":4500,"children":4501},{},[4502],{"type":64,"value":4503},"0.5-2%",{"type":59,"tag":263,"props":4505,"children":4506},{},[4507],{"type":64,"value":4508},"0.01-0.15%",{"type":59,"tag":45,"props":4510,"children":4511},{},[4512,4517,4522],{"type":59,"tag":263,"props":4513,"children":4514},{},[4515],{"type":64,"value":4516},"Bet variance needed",{"type":59,"tag":263,"props":4518,"children":4519},{},[4520],{"type":64,"value":4521},"1-12x",{"type":59,"tag":263,"props":4523,"children":4524},{},[4525],{"type":64,"value":4526},"Extreme",{"type":59,"tag":45,"props":4528,"children":4529},{},[4530,4535,4540],{"type":59,"tag":263,"props":4531,"children":4532},{},[4533],{"type":64,"value":4534},"Practical?",{"type":59,"tag":263,"props":4536,"children":4537},{},[4538],{"type":64,"value":4539},"Yes",{"type":59,"tag":263,"props":4541,"children":4542},{},[4543],{"type":64,"value":4544},"No",{"type":59,"tag":45,"props":4546,"children":4547},{},[4548,4553,4558],{"type":59,"tag":263,"props":4549,"children":4550},{},[4551],{"type":64,"value":4552},"Casino tolerance",{"type":59,"tag":263,"props":4554,"children":4555},{},[4556],{"type":64,"value":4557},"Low",{"type":59,"tag":263,"props":4559,"children":4560},{},[4561],{"type":64,"value":4562},"Doesn't matter",{"type":59,"tag":167,"props":4564,"children":4566},{"id":4565},"edge-sorting-historical",[4567],{"type":64,"value":4568},"Edge Sorting (Historical)",{"type":59,"tag":66,"props":4570,"children":4571},{},[4572],{"type":64,"value":4573},"Phil Ivey famously won millions using edge sorting:",{"type":59,"tag":83,"props":4575,"children":4576},{},[4577,4582,4587,4592],{"type":59,"tag":87,"props":4578,"children":4579},{},[4580],{"type":64,"value":4581},"Identified asymmetrical card backs",{"type":59,"tag":87,"props":4583,"children":4584},{},[4585],{"type":64,"value":4586},"Requested specific shuffling procedures",{"type":59,"tag":87,"props":4588,"children":4589},{},[4590],{"type":64,"value":4591},"Courts ruled this violated casino rules",{"type":59,"tag":87,"props":4593,"children":4594},{},[4595],{"type":64,"value":4596},"Modern casinos prevent with better cards and procedures",{"type":59,"tag":60,"props":4598,"children":4600},{"id":4599},"baccarat-vs-other-games-comparison",[4601],{"type":64,"value":4602},"Baccarat vs Other Games {#comparison}",{"type":59,"tag":167,"props":4604,"children":4606},{"id":4605},"house-edge-comparison",[4607],{"type":64,"value":4608},"House Edge Comparison",{"type":59,"tag":234,"props":4610,"children":4611},{},[4612,4632],{"type":59,"tag":238,"props":4613,"children":4614},{},[4615],{"type":59,"tag":45,"props":4616,"children":4617},{},[4618,4623,4627],{"type":59,"tag":245,"props":4619,"children":4620},{},[4621],{"type":64,"value":4622},"Game",{"type":59,"tag":245,"props":4624,"children":4625},{},[4626],{"type":64,"value":51},{"type":59,"tag":245,"props":4628,"children":4629},{},[4630],{"type":64,"value":4631},"Skill Required",{"type":59,"tag":256,"props":4633,"children":4634},{},[4635,4651,4669,4686,4703],{"type":59,"tag":45,"props":4636,"children":4637},{},[4638,4643,4647],{"type":59,"tag":263,"props":4639,"children":4640},{},[4641],{"type":64,"value":4642},"Baccarat (Banker)",{"type":59,"tag":263,"props":4644,"children":4645},{},[4646],{"type":64,"value":955},{"type":59,"tag":263,"props":4648,"children":4649},{},[4650],{"type":64,"value":3873},{"type":59,"tag":45,"props":4652,"children":4653},{},[4654,4659,4664],{"type":59,"tag":263,"props":4655,"children":4656},{},[4657],{"type":64,"value":4658},"Blackjack (basic strategy)",{"type":59,"tag":263,"props":4660,"children":4661},{},[4662],{"type":64,"value":4663},"0.5%",{"type":59,"tag":263,"props":4665,"children":4666},{},[4667],{"type":64,"value":4668},"Medium",{"type":59,"tag":45,"props":4670,"children":4671},{},[4672,4677,4682],{"type":59,"tag":263,"props":4673,"children":4674},{},[4675],{"type":64,"value":4676},"Craps (pass\u002Fdon't pass)",{"type":59,"tag":263,"props":4678,"children":4679},{},[4680],{"type":64,"value":4681},"1.41%",{"type":59,"tag":263,"props":4683,"children":4684},{},[4685],{"type":64,"value":3873},{"type":59,"tag":45,"props":4687,"children":4688},{},[4689,4694,4699],{"type":59,"tag":263,"props":4690,"children":4691},{},[4692],{"type":64,"value":4693},"Roulette (European)",{"type":59,"tag":263,"props":4695,"children":4696},{},[4697],{"type":64,"value":4698},"2.70%",{"type":59,"tag":263,"props":4700,"children":4701},{},[4702],{"type":64,"value":3873},{"type":59,"tag":45,"props":4704,"children":4705},{},[4706,4711,4716],{"type":59,"tag":263,"props":4707,"children":4708},{},[4709],{"type":64,"value":4710},"Slots",{"type":59,"tag":263,"props":4712,"children":4713},{},[4714],{"type":64,"value":4715},"2-15%",{"type":59,"tag":263,"props":4717,"children":4718},{},[4719],{"type":64,"value":3873},{"type":59,"tag":167,"props":4721,"children":4723},{"id":4722},"why-high-rollers-choose-baccarat",[4724],{"type":64,"value":4725},"Why High Rollers Choose Baccarat",{"type":59,"tag":234,"props":4727,"children":4728},{},[4729,4744],{"type":59,"tag":238,"props":4730,"children":4731},{},[4732],{"type":59,"tag":45,"props":4733,"children":4734},{},[4735,4739],{"type":59,"tag":245,"props":4736,"children":4737},{},[4738],{"type":64,"value":4478},{"type":59,"tag":245,"props":4740,"children":4741},{},[4742],{"type":64,"value":4743},"Advantage",{"type":59,"tag":256,"props":4745,"children":4746},{},[4747,4760,4773,4786,4799],{"type":59,"tag":45,"props":4748,"children":4749},{},[4750,4755],{"type":59,"tag":263,"props":4751,"children":4752},{},[4753],{"type":64,"value":4754},"Low house edge",{"type":59,"tag":263,"props":4756,"children":4757},{},[4758],{"type":64,"value":4759},"Minimizes long-term loss",{"type":59,"tag":45,"props":4761,"children":4762},{},[4763,4768],{"type":59,"tag":263,"props":4764,"children":4765},{},[4766],{"type":64,"value":4767},"No decisions",{"type":59,"tag":263,"props":4769,"children":4770},{},[4771],{"type":64,"value":4772},"Can't make mistakes",{"type":59,"tag":45,"props":4774,"children":4775},{},[4776,4781],{"type":59,"tag":263,"props":4777,"children":4778},{},[4779],{"type":64,"value":4780},"High limits",{"type":59,"tag":263,"props":4782,"children":4783},{},[4784],{"type":64,"value":4785},"Casinos accommodate large bets",{"type":59,"tag":45,"props":4787,"children":4788},{},[4789,4794],{"type":59,"tag":263,"props":4790,"children":4791},{},[4792],{"type":64,"value":4793},"Fast resolution",{"type":59,"tag":263,"props":4795,"children":4796},{},[4797],{"type":64,"value":4798},"Clear win\u002Floss each hand",{"type":59,"tag":45,"props":4800,"children":4801},{},[4802,4807],{"type":59,"tag":263,"props":4803,"children":4804},{},[4805],{"type":64,"value":4806},"Superstition friendly",{"type":59,"tag":263,"props":4808,"children":4809},{},[4810],{"type":64,"value":4811},"Ritual doesn't hurt odds",{"type":59,"tag":167,"props":4813,"children":4815},{"id":4814},"expected-hourly-loss",[4816],{"type":64,"value":4817},"Expected Hourly Loss",{"type":59,"tag":234,"props":4819,"children":4820},{},[4821,4846],{"type":59,"tag":238,"props":4822,"children":4823},{},[4824],{"type":59,"tag":45,"props":4825,"children":4826},{},[4827,4831,4836,4841],{"type":59,"tag":245,"props":4828,"children":4829},{},[4830],{"type":64,"value":4622},{"type":59,"tag":245,"props":4832,"children":4833},{},[4834],{"type":64,"value":4835},"Hands\u002FHour",{"type":59,"tag":245,"props":4837,"children":4838},{},[4839],{"type":64,"value":4840},"Avg Bet",{"type":59,"tag":245,"props":4842,"children":4843},{},[4844],{"type":64,"value":4845},"Hourly Loss",{"type":59,"tag":256,"props":4847,"children":4848},{},[4849,4871,4893,4914],{"type":59,"tag":45,"props":4850,"children":4851},{},[4852,4856,4861,4866],{"type":59,"tag":263,"props":4853,"children":4854},{},[4855],{"type":64,"value":3567},{"type":59,"tag":263,"props":4857,"children":4858},{},[4859],{"type":64,"value":4860},"200",{"type":59,"tag":263,"props":4862,"children":4863},{},[4864],{"type":64,"value":4865},"$100",{"type":59,"tag":263,"props":4867,"children":4868},{},[4869],{"type":64,"value":4870},"$212",{"type":59,"tag":45,"props":4872,"children":4873},{},[4874,4878,4883,4888],{"type":59,"tag":263,"props":4875,"children":4876},{},[4877],{"type":64,"value":3590},{"type":59,"tag":263,"props":4879,"children":4880},{},[4881],{"type":64,"value":4882},"50",{"type":59,"tag":263,"props":4884,"children":4885},{},[4886],{"type":64,"value":4887},"$500",{"type":59,"tag":263,"props":4889,"children":4890},{},[4891],{"type":64,"value":4892},"$265",{"type":59,"tag":45,"props":4894,"children":4895},{},[4896,4900,4905,4909],{"type":59,"tag":263,"props":4897,"children":4898},{},[4899],{"type":64,"value":4483},{"type":59,"tag":263,"props":4901,"children":4902},{},[4903],{"type":64,"value":4904},"80",{"type":59,"tag":263,"props":4906,"children":4907},{},[4908],{"type":64,"value":4865},{"type":59,"tag":263,"props":4910,"children":4911},{},[4912],{"type":64,"value":4913},"$40",{"type":59,"tag":45,"props":4915,"children":4916},{},[4917,4922,4927,4931],{"type":59,"tag":263,"props":4918,"children":4919},{},[4920],{"type":64,"value":4921},"Roulette",{"type":59,"tag":263,"props":4923,"children":4924},{},[4925],{"type":64,"value":4926},"40",{"type":59,"tag":263,"props":4928,"children":4929},{},[4930],{"type":64,"value":4865},{"type":59,"tag":263,"props":4932,"children":4933},{},[4934],{"type":64,"value":4935},"$108",{"type":59,"tag":66,"props":4937,"children":4938},{},[4939],{"type":64,"value":4940},"Despite low edge, mini baccarat's speed increases hourly losses.",{"type":59,"tag":60,"props":4942,"children":4944},{"id":4943},"online-vs-land-based-online",[4945],{"type":64,"value":4946},"Online vs Land-Based {#online}",{"type":59,"tag":167,"props":4948,"children":4950},{"id":4949},"rng-baccarat",[4951],{"type":64,"value":4952},"RNG Baccarat",{"type":59,"tag":234,"props":4954,"children":4955},{},[4956,4970],{"type":59,"tag":238,"props":4957,"children":4958},{},[4959],{"type":59,"tag":45,"props":4960,"children":4961},{},[4962,4966],{"type":59,"tag":245,"props":4963,"children":4964},{},[4965],{"type":64,"value":4478},{"type":59,"tag":245,"props":4967,"children":4968},{},[4969],{"type":64,"value":3762},{"type":59,"tag":256,"props":4971,"children":4972},{},[4973,4985,4997,5010,5023],{"type":59,"tag":45,"props":4974,"children":4975},{},[4976,4980],{"type":59,"tag":263,"props":4977,"children":4978},{},[4979],{"type":64,"value":3637},{"type":59,"tag":263,"props":4981,"children":4982},{},[4983],{"type":64,"value":4984},"Very fast (60+ hands\u002Fhour solo)",{"type":59,"tag":45,"props":4986,"children":4987},{},[4988,4992],{"type":59,"tag":263,"props":4989,"children":4990},{},[4991],{"type":64,"value":3655},{"type":59,"tag":263,"props":4993,"children":4994},{},[4995],{"type":64,"value":4996},"$0.10-1",{"type":59,"tag":45,"props":4998,"children":4999},{},[5000,5005],{"type":59,"tag":263,"props":5001,"children":5002},{},[5003],{"type":64,"value":5004},"RTP",{"type":59,"tag":263,"props":5006,"children":5007},{},[5008],{"type":64,"value":5009},"Same (house edge identical)",{"type":59,"tag":45,"props":5011,"children":5012},{},[5013,5018],{"type":59,"tag":263,"props":5014,"children":5015},{},[5016],{"type":64,"value":5017},"Fairness",{"type":59,"tag":263,"props":5019,"children":5020},{},[5021],{"type":64,"value":5022},"Certified RNG, audited",{"type":59,"tag":45,"props":5024,"children":5025},{},[5026,5031],{"type":59,"tag":263,"props":5027,"children":5028},{},[5029],{"type":64,"value":5030},"Experience",{"type":59,"tag":263,"props":5032,"children":5033},{},[5034],{"type":64,"value":5035},"Less atmosphere",{"type":59,"tag":167,"props":5037,"children":5039},{"id":5038},"live-dealer-baccarat",[5040],{"type":64,"value":5041},"Live Dealer Baccarat",{"type":59,"tag":234,"props":5043,"children":5044},{},[5045,5059],{"type":59,"tag":238,"props":5046,"children":5047},{},[5048],{"type":59,"tag":45,"props":5049,"children":5050},{},[5051,5055],{"type":59,"tag":245,"props":5052,"children":5053},{},[5054],{"type":64,"value":4478},{"type":59,"tag":245,"props":5056,"children":5057},{},[5058],{"type":64,"value":3762},{"type":59,"tag":256,"props":5060,"children":5061},{},[5062,5074,5086,5099,5112],{"type":59,"tag":45,"props":5063,"children":5064},{},[5065,5069],{"type":59,"tag":263,"props":5066,"children":5067},{},[5068],{"type":64,"value":3637},{"type":59,"tag":263,"props":5070,"children":5071},{},[5072],{"type":64,"value":5073},"Moderate (40-60 hands\u002Fhour)",{"type":59,"tag":45,"props":5075,"children":5076},{},[5077,5081],{"type":59,"tag":263,"props":5078,"children":5079},{},[5080],{"type":64,"value":3655},{"type":59,"tag":263,"props":5082,"children":5083},{},[5084],{"type":64,"value":5085},"$1-5 typically",{"type":59,"tag":45,"props":5087,"children":5088},{},[5089,5094],{"type":59,"tag":263,"props":5090,"children":5091},{},[5092],{"type":64,"value":5093},"Dealers",{"type":59,"tag":263,"props":5095,"children":5096},{},[5097],{"type":64,"value":5098},"Real humans, streamed",{"type":59,"tag":45,"props":5100,"children":5101},{},[5102,5107],{"type":59,"tag":263,"props":5103,"children":5104},{},[5105],{"type":64,"value":5106},"Squeeze options",{"type":59,"tag":263,"props":5108,"children":5109},{},[5110],{"type":64,"value":5111},"Available at premium tables",{"type":59,"tag":45,"props":5113,"children":5114},{},[5115,5120],{"type":59,"tag":263,"props":5116,"children":5117},{},[5118],{"type":64,"value":5119},"Social",{"type":59,"tag":263,"props":5121,"children":5122},{},[5123],{"type":64,"value":5124},"Chat with dealers\u002Fplayers",{"type":59,"tag":167,"props":5126,"children":5128},{"id":5127},"table-selection",[5129],{"type":64,"value":5130},"Table Selection",{"type":59,"tag":234,"props":5132,"children":5133},{},[5134,5150],{"type":59,"tag":238,"props":5135,"children":5136},{},[5137],{"type":59,"tag":45,"props":5138,"children":5139},{},[5140,5145],{"type":59,"tag":245,"props":5141,"children":5142},{},[5143],{"type":64,"value":5144},"Priority",{"type":59,"tag":245,"props":5146,"children":5147},{},[5148],{"type":64,"value":5149},"Best Choice",{"type":59,"tag":256,"props":5151,"children":5152},{},[5153,5166,5179,5192,5205],{"type":59,"tag":45,"props":5154,"children":5155},{},[5156,5161],{"type":59,"tag":263,"props":5157,"children":5158},{},[5159],{"type":64,"value":5160},"Lowest house edge",{"type":59,"tag":263,"props":5162,"children":5163},{},[5164],{"type":64,"value":5165},"Standard Banker bet",{"type":59,"tag":45,"props":5167,"children":5168},{},[5169,5174],{"type":59,"tag":263,"props":5170,"children":5171},{},[5172],{"type":64,"value":5173},"Entertainment",{"type":59,"tag":263,"props":5175,"children":5176},{},[5177],{"type":64,"value":5178},"Live dealer with squeeze",{"type":59,"tag":45,"props":5180,"children":5181},{},[5182,5187],{"type":59,"tag":263,"props":5183,"children":5184},{},[5185],{"type":64,"value":5186},"Learning",{"type":59,"tag":263,"props":5188,"children":5189},{},[5190],{"type":64,"value":5191},"Free play RNG",{"type":59,"tag":45,"props":5193,"children":5194},{},[5195,5200],{"type":59,"tag":263,"props":5196,"children":5197},{},[5198],{"type":64,"value":5199},"High stakes",{"type":59,"tag":263,"props":5201,"children":5202},{},[5203],{"type":64,"value":5204},"VIP live tables",{"type":59,"tag":45,"props":5206,"children":5207},{},[5208,5213],{"type":59,"tag":263,"props":5209,"children":5210},{},[5211],{"type":64,"value":5212},"Fast play",{"type":59,"tag":263,"props":5214,"children":5215},{},[5216],{"type":64,"value":5217},"RNG or speed baccarat",{"type":59,"tag":60,"props":5219,"children":5221},{"id":5220},"bankroll-management-bankroll",[5222],{"type":64,"value":5223},"Bankroll Management {#bankroll}",{"type":59,"tag":167,"props":5225,"children":5227},{"id":5226},"session-bankroll",[5228],{"type":64,"value":5229},"Session Bankroll",{"type":59,"tag":469,"props":5231,"children":5233},{"className":5232},[472],[5234,5287],{"type":59,"tag":469,"props":5235,"children":5237},{"className":5236},[477],[5238],{"type":59,"tag":480,"props":5239,"children":5240},{"xmlns":482},[5241],{"type":59,"tag":485,"props":5242,"children":5243},{},[5244,5282],{"type":59,"tag":489,"props":5245,"children":5246},{},[5247,5252,5256],{"type":59,"tag":493,"props":5248,"children":5249},{},[5250],{"type":64,"value":5251},"Session Length",{"type":59,"tag":499,"props":5253,"children":5254},{},[5255],{"type":64,"value":503},{"type":59,"tag":5257,"props":5258,"children":5259},"mfrac",{},[5260,5265],{"type":59,"tag":493,"props":5261,"children":5262},{},[5263],{"type":64,"value":5264},"Bankroll",{"type":59,"tag":489,"props":5266,"children":5267},{},[5268,5273,5277],{"type":59,"tag":493,"props":5269,"children":5270},{},[5271],{"type":64,"value":5272},"Bet Size",{"type":59,"tag":499,"props":5274,"children":5275},{},[5276],{"type":64,"value":1779},{"type":59,"tag":558,"props":5278,"children":5279},{},[5280],{"type":64,"value":5281},"1.5",{"type":59,"tag":564,"props":5283,"children":5284},{"encoding":566},[5285],{"type":64,"value":5286},"\\text{Session Length} = \\frac{\\text{Bankroll}}{\\text{Bet Size} \\times 1.5}\n",{"type":59,"tag":469,"props":5288,"children":5290},{"className":5289,"ariaHidden":574},[573],[5291,5321],{"type":59,"tag":469,"props":5292,"children":5294},{"className":5293},[579],[5295,5299,5308,5312,5317],{"type":59,"tag":469,"props":5296,"children":5298},{"className":5297,"style":3102},[584],[],{"type":59,"tag":469,"props":5300,"children":5302},{"className":5301},[590,64],[5303],{"type":59,"tag":469,"props":5304,"children":5306},{"className":5305},[590],[5307],{"type":64,"value":5251},{"type":59,"tag":469,"props":5309,"children":5311},{"className":5310,"style":600},[521],[],{"type":59,"tag":469,"props":5313,"children":5315},{"className":5314},[605],[5316],{"type":64,"value":503},{"type":59,"tag":469,"props":5318,"children":5320},{"className":5319,"style":600},[521],[],{"type":59,"tag":469,"props":5322,"children":5324},{"className":5323},[579],[5325,5330],{"type":59,"tag":469,"props":5326,"children":5329},{"className":5327,"style":5328},[584],"height:1.2834em;vertical-align:-0.4033em;",[],{"type":59,"tag":469,"props":5331,"children":5333},{"className":5332},[590],[5334,5339,5448],{"type":59,"tag":469,"props":5335,"children":5338},{"className":5336},[624,5337],"nulldelimiter",[],{"type":59,"tag":469,"props":5340,"children":5342},{"className":5341},[5257],[5343],{"type":59,"tag":469,"props":5344,"children":5346},{"className":5345},[3018,3019],[5347,5436],{"type":59,"tag":469,"props":5348,"children":5350},{"className":5349},[3024],[5351,5431],{"type":59,"tag":469,"props":5352,"children":5355},{"className":5353,"style":5354},[3029],"height:0.8801em;",[5356,5392,5406],{"type":59,"tag":469,"props":5357,"children":5359},{"style":5358},"top:-2.655em;",[5360,5365],{"type":59,"tag":469,"props":5361,"children":5364},{"className":5362,"style":5363},[3039],"height:3em;",[],{"type":59,"tag":469,"props":5366,"children":5368},{"className":5367},[3045,3046,3047,3048],[5369],{"type":59,"tag":469,"props":5370,"children":5372},{"className":5371},[590,3048],[5373,5382,5387],{"type":59,"tag":469,"props":5374,"children":5376},{"className":5375},[590,64,3048],[5377],{"type":59,"tag":469,"props":5378,"children":5380},{"className":5379},[590,3048],[5381],{"type":64,"value":5272},{"type":59,"tag":469,"props":5383,"children":5385},{"className":5384},[1924,3048],[5386],{"type":64,"value":1779},{"type":59,"tag":469,"props":5388,"children":5390},{"className":5389},[590,3048],[5391],{"type":64,"value":5281},{"type":59,"tag":469,"props":5393,"children":5395},{"style":5394},"top:-3.23em;",[5396,5400],{"type":59,"tag":469,"props":5397,"children":5399},{"className":5398,"style":5363},[3039],[],{"type":59,"tag":469,"props":5401,"children":5405},{"className":5402,"style":5404},[5403],"frac-line","border-bottom-width:0.04em;",[],{"type":59,"tag":469,"props":5407,"children":5409},{"style":5408},"top:-3.394em;",[5410,5414],{"type":59,"tag":469,"props":5411,"children":5413},{"className":5412,"style":5363},[3039],[],{"type":59,"tag":469,"props":5415,"children":5417},{"className":5416},[3045,3046,3047,3048],[5418],{"type":59,"tag":469,"props":5419,"children":5421},{"className":5420},[590,3048],[5422],{"type":59,"tag":469,"props":5423,"children":5425},{"className":5424},[590,64,3048],[5426],{"type":59,"tag":469,"props":5427,"children":5429},{"className":5428},[590,3048],[5430],{"type":64,"value":5264},{"type":59,"tag":469,"props":5432,"children":5434},{"className":5433},[3066],[5435],{"type":64,"value":3069},{"type":59,"tag":469,"props":5437,"children":5439},{"className":5438},[3024],[5440],{"type":59,"tag":469,"props":5441,"children":5444},{"className":5442,"style":5443},[3029],"height:0.4033em;",[5445],{"type":59,"tag":469,"props":5446,"children":5447},{},[],{"type":59,"tag":469,"props":5449,"children":5451},{"className":5450},[639,5337],[],{"type":59,"tag":234,"props":5453,"children":5454},{},[5455,5475],{"type":59,"tag":238,"props":5456,"children":5457},{},[5458],{"type":59,"tag":45,"props":5459,"children":5460},{},[5461,5465,5470],{"type":59,"tag":245,"props":5462,"children":5463},{},[5464],{"type":64,"value":5264},{"type":59,"tag":245,"props":5466,"children":5467},{},[5468],{"type":64,"value":5469},"Bet Size",{"type":59,"tag":245,"props":5471,"children":5472},{},[5473],{"type":64,"value":5474},"Expected Hands",{"type":59,"tag":256,"props":5476,"children":5477},{},[5478,5495,5511],{"type":59,"tag":45,"props":5479,"children":5480},{},[5481,5485,5490],{"type":59,"tag":263,"props":5482,"children":5483},{},[5484],{"type":64,"value":4887},{"type":59,"tag":263,"props":5486,"children":5487},{},[5488],{"type":64,"value":5489},"$25",{"type":59,"tag":263,"props":5491,"children":5492},{},[5493],{"type":64,"value":5494},"~13 hands",{"type":59,"tag":45,"props":5496,"children":5497},{},[5498,5502,5507],{"type":59,"tag":263,"props":5499,"children":5500},{},[5501],{"type":64,"value":2869},{"type":59,"tag":263,"props":5503,"children":5504},{},[5505],{"type":64,"value":5506},"$50",{"type":59,"tag":263,"props":5508,"children":5509},{},[5510],{"type":64,"value":5494},{"type":59,"tag":45,"props":5512,"children":5513},{},[5514,5519,5523],{"type":59,"tag":263,"props":5515,"children":5516},{},[5517],{"type":64,"value":5518},"$5,000",{"type":59,"tag":263,"props":5520,"children":5521},{},[5522],{"type":64,"value":4865},{"type":59,"tag":263,"props":5524,"children":5525},{},[5526],{"type":64,"value":5527},"~33 hands",{"type":59,"tag":167,"props":5529,"children":5531},{"id":5530},"winloss-limits",[5532],{"type":64,"value":5533},"Win\u002FLoss Limits",{"type":59,"tag":234,"props":5535,"children":5536},{},[5537,5552],{"type":59,"tag":238,"props":5538,"children":5539},{},[5540],{"type":59,"tag":45,"props":5541,"children":5542},{},[5543,5548],{"type":59,"tag":245,"props":5544,"children":5545},{},[5546],{"type":64,"value":5547},"Limit Type",{"type":59,"tag":245,"props":5549,"children":5550},{},[5551],{"type":64,"value":1175},{"type":59,"tag":256,"props":5553,"children":5554},{},[5555,5568,5581,5594],{"type":59,"tag":45,"props":5556,"children":5557},{},[5558,5563],{"type":59,"tag":263,"props":5559,"children":5560},{},[5561],{"type":64,"value":5562},"Loss limit",{"type":59,"tag":263,"props":5564,"children":5565},{},[5566],{"type":64,"value":5567},"50% of session bankroll",{"type":59,"tag":45,"props":5569,"children":5570},{},[5571,5576],{"type":59,"tag":263,"props":5572,"children":5573},{},[5574],{"type":64,"value":5575},"Win goal",{"type":59,"tag":263,"props":5577,"children":5578},{},[5579],{"type":64,"value":5580},"30-50% profit",{"type":59,"tag":45,"props":5582,"children":5583},{},[5584,5589],{"type":59,"tag":263,"props":5585,"children":5586},{},[5587],{"type":64,"value":5588},"Time limit",{"type":59,"tag":263,"props":5590,"children":5591},{},[5592],{"type":64,"value":5593},"Set before playing",{"type":59,"tag":45,"props":5595,"children":5596},{},[5597,5602],{"type":59,"tag":263,"props":5598,"children":5599},{},[5600],{"type":64,"value":5601},"Stop-loss",{"type":59,"tag":263,"props":5603,"children":5604},{},[5605],{"type":64,"value":5606},"Walk away when reached",{"type":59,"tag":167,"props":5608,"children":5610},{"id":5609},"the-commission-factor",[5611],{"type":64,"value":5612},"The Commission Factor",{"type":59,"tag":66,"props":5614,"children":5615},{},[5616],{"type":64,"value":5617},"Remember: Banker wins require 5% commission tracking.",{"type":59,"tag":234,"props":5619,"children":5620},{},[5621,5646],{"type":59,"tag":238,"props":5622,"children":5623},{},[5624],{"type":59,"tag":45,"props":5625,"children":5626},{},[5627,5632,5637,5641],{"type":59,"tag":245,"props":5628,"children":5629},{},[5630],{"type":64,"value":5631},"Banker Wins",{"type":59,"tag":245,"props":5633,"children":5634},{},[5635],{"type":64,"value":5636},"Gross Win",{"type":59,"tag":245,"props":5638,"children":5639},{},[5640],{"type":64,"value":3799},{"type":59,"tag":245,"props":5642,"children":5643},{},[5644],{"type":64,"value":5645},"Net Win",{"type":59,"tag":256,"props":5647,"children":5648},{},[5649,5670],{"type":59,"tag":45,"props":5650,"children":5651},{},[5652,5657,5661,5665],{"type":59,"tag":263,"props":5653,"children":5654},{},[5655],{"type":64,"value":5656},"10 × $100",{"type":59,"tag":263,"props":5658,"children":5659},{},[5660],{"type":64,"value":2869},{"type":59,"tag":263,"props":5662,"children":5663},{},[5664],{"type":64,"value":5506},{"type":59,"tag":263,"props":5666,"children":5667},{},[5668],{"type":64,"value":5669},"$950",{"type":59,"tag":45,"props":5671,"children":5672},{},[5673,5678,5683,5687],{"type":59,"tag":263,"props":5674,"children":5675},{},[5676],{"type":64,"value":5677},"20 × $100",{"type":59,"tag":263,"props":5679,"children":5680},{},[5681],{"type":64,"value":5682},"$2,000",{"type":59,"tag":263,"props":5684,"children":5685},{},[5686],{"type":64,"value":4865},{"type":59,"tag":263,"props":5688,"children":5689},{},[5690],{"type":64,"value":5691},"$1,900",{"type":59,"tag":66,"props":5693,"children":5694},{},[5695],{"type":64,"value":5696},"Some casinos collect commission per hand; others track and collect at table change.",{"type":59,"tag":60,"props":5698,"children":5700},{"id":5699},"related-calculators",[5701],{"type":64,"value":5702},"Related Calculators",{"type":59,"tag":83,"props":5704,"children":5705},{},[5706,5716,5726],{"type":59,"tag":87,"props":5707,"children":5708},{},[5709,5714],{"type":59,"tag":91,"props":5710,"children":5711},{"href":22},[5712],{"type":64,"value":5713},"Baccarat Calculator",{"type":64,"value":5715}," - Calculate odds and EV",{"type":59,"tag":87,"props":5717,"children":5718},{},[5719,5724],{"type":59,"tag":91,"props":5720,"children":5721},{"href":22},[5722],{"type":64,"value":5723},"Baccarat Strategy",{"type":64,"value":5725}," - Optimal play guide",{"type":59,"tag":87,"props":5727,"children":5728},{},[5729,5734],{"type":59,"tag":91,"props":5730,"children":5731},{"href":23},[5732],{"type":64,"value":5733},"Bankroll Calculator",{"type":64,"value":5735}," - Session planning"]