[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"term-poker-equity-en":3,"related-equity-en":49,"mdc-fblkd9-key":56},{"id":4,"slug":5,"status":6,"section":7,"category":8,"difficulty":9,"aliases":10,"related_terms":16,"related_calculators":21,"term":25,"definition":26,"content":27,"example":28,"faq":29,"availableLocales":42},"9266b6e2-5bc9-448e-ad82-861f138e4ede","equity","published","poker","poker-math","intermediate",[11,12,13,14,15],"hand equity","winning percentage","win rate","pot share","expected share",[17,18,19,20],"pot-odds","outs","expected-value","range",[22,23,24],"\u002Fpoker\u002Fequity-calculator","\u002Fpoker\u002Fpot-odds","\u002Fpoker\u002Fouts-calculator","Equity","Equity is your percentage share of the pot based on the probability of winning at showdown with all remaining cards dealt. If you have 60% equity in a $100 pot, you're statistically entitled to $60 of that pot over infinite iterations. Equity drives every poker decision—calling, raising, folding, and bet sizing all depend on comparing your equity against pot odds and opponent ranges. Unlike fixed outcomes, equity represents expected value across all possible runouts.","# Equity\n\n**Equity** is the mathematical heart of poker—your rightful share of every pot based on probability. When you hold 40% equity, you own 40% of that pot in expected value terms, regardless of whether you win or lose this specific hand. Equity transforms poker from a game of hunches into a game of mathematical precision. Every decision—calling a bet, raising for value, folding a marginal hand—should be informed by your equity versus your opponents' ranges. Master equity, and you understand poker at its core: making decisions that maximize your expected share of every pot over time.\n\n## Table of Contents\n\n- [Understanding Equity](#understanding)\n- [Calculating Equity](#calculation)\n- [Preflop Equity](#preflop)\n- [Post-Flop Equity](#postflop)\n- [Equity vs Ranges](#ranges)\n- [Equity Realization](#realization)\n- [Using Equity Strategically](#strategy)\n- [Common Equity Scenarios](#scenarios)\n\n## Understanding Equity {#understanding}\n\n### What Equity Means\n\n```math\n\\text{Equity} = \\frac{\\text{Times You Win}}{\\text{Total Possible Outcomes}} \\times 100\\%\n```\n\n**Simple example:**\n- You have A♠ A♥\n- Opponent has K♠ K♥\n- Your equity: ~82%\n- Meaning: If this hand plays out millions of times, you win ~82%\n\n### Equity in Action\n\n| Pot | Your Equity | Your Expected Value |\n|-----|-------------|---------------------|\n| $100 | 60% | $60 |\n| $100 | 40% | $40 |\n| $100 | 25% | $25 |\n\n```math\n\\text{EV (Expected Value)} = \\text{Pot} \\times \\text{Equity}\n```\n\n### Equity Components\n\n| Type | Description |\n|------|-------------|\n| **Win equity** | Probability of winning outright |\n| **Tie equity** | Probability of splitting pot |\n| **Total equity** | Win equity + (Tie equity \u002F 2) |\n\n### Equity vs. Probability\n\n| Term | Meaning |\n|------|---------|\n| Equity | Your share of the pot mathematically |\n| Probability | Chance of a specific outcome |\n| Expected Value | Equity × Pot Size |\n\n## Calculating Equity {#calculation}\n\n### The Rule of 2 and 4\n\nThe fastest way to estimate equity from outs:\n\n| Situation | Formula | Accuracy |\n|-----------|---------|----------|\n| One card to come (turn\u002Friver) | Outs × 2 | ~±1% |\n| Two cards to come (flop) | Outs × 4 | ~±2% |\n\n**Why it works:**\n```math\nP(\\text{hit}) = \\frac{\\text{Outs}}{\\text{Cards Remaining}} \\approx \\frac{\\text{Outs}}{47} \\approx \\text{Outs} \\times 2\\%\n```\n\n### Outs to Equity Table\n\n| Outs | One Card (×2) | Two Cards (×4) | Actual (Two Cards) |\n|------|---------------|----------------|-------------------|\n| 1 | 2% | 4% | 4.3% |\n| 2 | 4% | 8% | 8.4% |\n| 4 | 8% | 16% | 16.5% |\n| 6 | 12% | 24% | 24.1% |\n| 8 | 16% | 32% | 31.5% |\n| 9 | 18% | 36% | 35.0% |\n| 10 | 20% | 40% | 38.4% |\n| 12 | 24% | 48% | 45.0% |\n| 15 | 30% | 60% | 54.1% |\n| 20 | 40% | 80% | 67.5% |\n\n### Exact Equity Formula\n\nFor two cards to come:\n\n```math\n\\text{Equity} = 1 - \\frac{\\binom{47 - \\text{Outs}}{2}}{\\binom{47}{2}}\n```\n\nFor one card to come:\n\n```math\n\\text{Equity} = \\frac{\\text{Outs}}{47} \\text{ (turn) or } \\frac{\\text{Outs}}{46} \\text{ (river)}\n```\n\n### Counting Outs\n\n| Draw | Outs | Cards |\n|------|------|-------|\n| Gutshot straight | 4 | One specific rank |\n| Open-ended straight | 8 | Two ranks |\n| Flush draw | 9 | Remaining suited cards |\n| Two overcards | 6 | 3 of each overcard |\n| One overcard | 3 | 3 of that card |\n| Set to full house | 7 | 3 board cards + 4 quads |\n| Pair to trips | 2 | 2 remaining cards |\n\n### Combination Draws\n\n| Draw Combination | Outs |\n|------------------|------|\n| Flush draw + gutshot | 12 (9+4, minus 1 overlap) |\n| Flush draw + OESD | 15 (9+8, minus 2 overlap) |\n| Flush draw + pair | 14 (9+5 remaining) |\n| OESD + pair | 13 (8+5) |\n\n## Preflop Equity {#preflop}\n\n### Premium Hand Equities\n\n| Your Hand | vs Random | vs Top 20% | vs Top 10% |\n|-----------|-----------|------------|------------|\n| AA | 85% | 77% | 73% |\n| KK | 82% | 71% | 65% |\n| QQ | 80% | 66% | 58% |\n| JJ | 77% | 61% | 52% |\n| AKs | 67% | 56% | 49% |\n| AKo | 65% | 54% | 47% |\n\n### Classic Matchups\n\n| Matchup | Equity |\n|---------|--------|\n| AA vs KK | 82% vs 18% |\n| AA vs AKs | 87% vs 13% |\n| AA vs QQ | 81% vs 19% |\n| KK vs AK | 70% vs 30% |\n| QQ vs AK | 57% vs 43% |\n| JJ vs AK | 57% vs 43% |\n| AKs vs 22 | 48% vs 52% |\n| AKs vs JTs | 60% vs 40% |\n| KQs vs A5o | 48% vs 52% |\n| 22 vs 33 | 18% vs 82% |\n\n### Hand Category Equities\n\n| Category | vs Random | Example |\n|----------|-----------|---------|\n| Pocket pairs | 80-85% | AA-22 |\n| High broadway | 60-67% | AK, AQ, KQ |\n| Medium broadway | 55-60% | KJ, QJ, JT |\n| Suited connectors | 52-58% | 98s, 87s |\n| Suited gappers | 48-54% | 97s, 86s |\n| Random junk | 35-45% | 72o, 83o |\n\n### Multi-Way Pot Equities\n\nAs more players enter, individual equities decrease:\n\n| Players | AA Equity | Top 5% Range |\n|---------|-----------|--------------|\n| 2 (heads-up) | 85% | ~80% |\n| 3 | 73% | ~65% |\n| 4 | 64% | ~55% |\n| 5 | 56% | ~45% |\n| 6 | 49% | ~40% |\n\n```math\n\\text{Multi-Way Equity} \\approx \\frac{\\text{Heads-Up Equity}}{n^{0.5}}\n```\n\n## Post-Flop Equity {#postflop}\n\n### How Flop Changes Equity\n\n**Example: AA vs 78s**\n\n| Street | AA Equity | 78s Equity |\n|--------|-----------|------------|\n| Preflop | 78% | 22% |\n| Flop: K♠ 2♦ 3♣ | 91% | 9% |\n| Flop: 5♦ 6♠ 9♣ | 52% | 48% |\n| Flop: 6♥ 7♥ 8♥ | 8% | 92% |\n\n### Board Texture and Equity\n\n| Texture | How It Affects Equity |\n|---------|----------------------|\n| Dry (K72r) | Preserves preflop advantages |\n| Wet (JT9ss) | Draws gain equity, made hands lose |\n| Paired (KK5) | Sets\u002Fboats dominate |\n| Monotone (all hearts) | Flush draws have huge equity |\n| Connected (678) | Straight possibilities shift equity |\n\n### Drawing Hand Equities\n\n| Draw | vs Overpair | vs Top Pair | vs Set |\n|------|-------------|-------------|--------|\n| Flush draw | 35% | 36% | 26% |\n| OESD | 32% | 33% | 26% |\n| Flush + OESD | 54% | 55% | 43% |\n| Gutshot | 17% | 17% | 13% |\n| Overcards | 24% | 14% | 4% |\n\n### Made Hand Equities vs Draws\n\n| Your Hand | Board | vs Flush Draw |\n|-----------|-------|---------------|\n| Top pair | K♥ 9♠ 4♠ | 65% |\n| Two pair | K♥ 9♠ 4♠ (K9) | 68% |\n| Set | K♥ 9♠ 4♠ (99) | 74% |\n| Overpair | K♥ 9♠ 4♠ (AA) | 65% |\n\n## Equity vs Ranges {#ranges}\n\n### Thinking in Ranges\n\nInstead of \"opponent has AK,\" think in ranges:\n\n```\nVillain's 3-bet range: {AA, KK, QQ, JJ, TT, AKs, AKo, AQs}\n```\n\nYour equity against this range differs from equity vs specific hands.\n\n### Range vs Range Example\n\n**Your hand:** Q♣ Q♦\n**Board:** K♠ 8♥ 4♣\n\n| Opponent's Range | Your Equity |\n|------------------|-------------|\n| Any two cards | 85% |\n| Top 30% | 72% |\n| Top 20% | 65% |\n| KK+, AK | 24% |\n| 77-55, suited connectors | 78% |\n\n### Calculating Range Equity\n\n```math\n\\text{Equity vs Range} = \\sum_{i} P(\\text{Hand}_i) \\times \\text{Equity vs Hand}_i\n```\n\n| Opponent Hand | Probability | Your Equity | Weighted |\n|---------------|-------------|-------------|----------|\n| AA (6 combos) | 20% | 20% | 4.0% |\n| KK (6 combos) | 20% | 18% | 3.6% |\n| AK (16 combos) | 53% | 70% | 37.1% |\n| AQ (2 combos) | 7% | 75% | 5.3% |\n| **Total** | 100% | - | **50%** |\n\n### Polarized vs Linear Ranges\n\n| Range Type | Equity Distribution |\n|------------|---------------------|\n| Polarized (nuts or air) | You're either way ahead or way behind |\n| Linear (all strong) | Your equity is more consistent |\n| Merged (varied strength) | Complex equity calculations |\n\n## Equity Realization {#realization}\n\n### Why Raw Equity Isn't Everything\n\n**Equity Realization (EQR)** = How much of your theoretical equity you actually capture\n\n```math\n\\text{Realized Equity} = \\text{Raw Equity} \\times \\text{EQR}\n```\n\n### Factors Affecting EQR\n\n| Factor | Impact on EQR |\n|--------|---------------|\n| **Position** | IP realizes 100%+, OOP realizes 70-85% |\n| **Skill edge** | Better players realize more |\n| **Stack depth** | Deeper = more realization |\n| **Hand playability** | Connected hands realize better |\n| **Range advantage** | Board favoring your range = higher |\n\n### Position and EQR\n\n| Position | Typical EQR |\n|----------|-------------|\n| Button | 100-110% |\n| Cutoff | 95-100% |\n| Middle | 90-95% |\n| UTG | 85-95% |\n| Big Blind | 75-90% |\n| Small Blind | 65-80% |\n\n### Playability Examples\n\n| Hand | Raw Equity vs AA | Playability | EQR |\n|------|------------------|-------------|-----|\n| KK | 18% | High | 95%+ |\n| 65s | 23% | High | 90%+ |\n| A5o | 29% | Low | 70-80% |\n| Q9o | 31% | Medium | 80-85% |\n\n### Why Some Hands Underperform\n\n| Issue | Example | Problem |\n|-------|---------|---------|\n| Dominated | KJ vs KQ | Lose big when you both hit |\n| Reverse implied odds | Weak flush draw | Hit and lose to nut flush |\n| No nut potential | 86o | Can't make nuts |\n| Easily counterfeited | A2 with 2 on board | Better kickers exist |\n\n## Using Equity Strategically {#strategy}\n\n### Equity-Based Decisions\n\n```math\n\\text{Decision} = \\begin{cases}\n\\text{Call} & \\text{if Equity} > \\text{Pot Odds Required} \\\\\n\\text{Fold} & \\text{if Equity} \u003C \\text{Pot Odds Required} \\\\\n\\text{Raise} & \\text{if Equity justifies + fold equity valuable}\n\\end{cases}\n```\n\n### When to Bet for Value\n\n| Your Equity | Action |\n|-------------|--------|\n| 65%+ vs calling range | Bet big for value |\n| 55-65% | Bet medium for value |\n| 50-55% | Thin value or check |\n| \u003C50% | Check or bluff |\n\n### All-In Equity Requirements\n\n| Situation | Minimum Equity Needed |\n|-----------|----------------------|\n| Call all-in into 2:1 pot | 33% |\n| Call all-in into 1:1 pot | 50% |\n| Call all-in into 0.5:1 pot | 67% |\n\n### Semi-Bluff Equity\n\nFor semi-bluffs to be profitable:\n\n```math\n\\text{EV} = P(\\text{Fold}) \\times \\text{Pot} + P(\\text{Call}) \\times (\\text{Equity} \\times \\text{New Pot} - \\text{Bet})\n```\n\nNeed either:\n- High fold equity\n- High draw equity\n- Or combination of both\n\n## Common Equity Scenarios {#scenarios}\n\n### Scenario 1: Calling a River Bet\n\n**Pot:** $200\n**Opponent bets:** $100\n**Pot odds:** 100\u002F400 = 25%\n\n**Decision:** You need 25%+ equity to call profitably\n\n### Scenario 2: Set Over Set\n\n| Situation | Equity |\n|-----------|--------|\n| Set of Kings vs Set of Queens | 96% vs 4% |\n| Set vs Two Pair | ~95% vs 5% |\n| Set vs Flush Draw | ~74% vs 26% |\n\n**Lesson:** Set over set is a cooler—rarely foldable\n\n### Scenario 3: Overpair vs Combo Draw\n\n**Your hand:** A♠ A♥\n**Board:** K♠ T♠ 9♥\n**Opponent:** Q♠ J♠ (flush draw + OESD)\n\n| Street | AA Equity |\n|--------|-----------|\n| Flop | 46% |\n| Turn (blank) | 77% |\n| Turn (spade) | 0% |\n| Turn (8 or Q) | 0% |\n\n**The overpair is actually behind!**\n\n### Scenario 4: Multi-Way All-In\n\n**3-way all-in preflop:**\n- Player A: A♠ A♥ (36%)\n- Player B: K♠ K♥ (18%)\n- Player C: Q♠ Q♥ (18%)\n- Ties: ~28%\n\n**Note:** AA equity drops significantly multi-way but still dominates\n\n### Scenario 5: Blocking Outs\n\n**Your hand:** K♠ Q♠\n**Board:** A♠ J♠ 5♥ 2♣\n\nYou have:\n- 9 flush outs\n- 3 ten outs (gut shot)\n- BUT: 1 ten is a spade (counted twice)\n- **Clean outs:** 11\n\nOpponent with A♣ K♣ blocks:\n- Your K outs (you can't pair K for win)\n- One of your straight cards\n\n## Equity Tools {#tools}\n\n### Online Calculators\n\n| Tool | Best For |\n|------|----------|\n| Equilab (free) | Range vs range |\n| PokerStove (free) | Quick calculations |\n| Flopzilla | Board textures |\n| PioSolver | GTO analysis |\n\n### Memorize These Numbers\n\n| Situation | Equity |\n|-----------|--------|\n| AA vs KK | 82% |\n| Overpair vs flush draw | 65% |\n| Flush draw (turn only) | 19% |\n| Flush draw (turn + river) | 35% |\n| OESD (turn only) | 17% |\n| OESD (turn + river) | 32% |\n| Set vs flush draw | 74% |\n| Two pair vs OESD | 67% |\n\n## Related Calculators\n\n- [Equity Calculator](\u002Fpoker\u002Fequity-calculator) - Hand vs hand\u002Frange\n- [Pot Odds Calculator](\u002Fpoker\u002Fpot-odds) - Compare equity to odds\n- [Outs Calculator](\u002Fpoker\u002Fouts-calculator) - Convert outs to equity",null,[30,33,36,39],{"answer":31,"question":32},"Equity is your probability of winning—how often your hand wins at showdown. Pot odds are the price you're being offered to call—how much you must risk vs. what you can win. You compare them: if equity > pot odds required, call is profitable. Equity is about your hand strength; pot odds are about the bet sizing.","What's the difference between equity and pot odds?",{"answer":34,"question":35},"Use the Rule of 2 and 4: multiply your outs by 2 for one card to come, or by 4 for two cards. With 9 outs (flush draw), you have ~18% equity for turn only, ~36% for turn+river. For precise preflop matchups (AA vs KK = 82% vs 18%), you'll need to memorize common scenarios or use a calculator.","How do you calculate equity without software?",{"answer":37,"question":38},"Absolutely. Your equity shifts dramatically as community cards are revealed. AA has 85% equity preflop vs random hand, but if the flop comes 7-8-9 of the same suit and opponent has suited connectors, AA's equity might drop to 10%. Board texture constantly reshapes equity distributions.","Does equity change during a hand?",{"answer":40,"question":41},"Yes—this is exactly what draws represent. With a flush draw on the flop, you likely have the worst hand right now, but you have ~35% equity because you'll make the best hand by the river 35% of the time. Equity accounts for all future cards, not just current hand strength.","Can you have equity without the best hand?",[43,44,45,46,47,48],"en","ru","es","pt","tr","de",[50,53],{"slug":18,"section":7,"category":8,"difficulty":9,"term":51,"definition":52},"Outs","Outs are unseen cards remaining in the deck that will improve your hand to a likely winner. Counting outs is fundamental to poker mathematics—it lets you calculate equity and determine if calling is profitable. With a flush draw, you have 9 outs (remaining suited cards). With an open-ended straight draw, you have 8 outs. The Rule of 2 and 4 converts outs to equity: multiply outs by 2 for one card, by 4 for two cards to come.",{"slug":17,"section":7,"category":8,"difficulty":9,"term":54,"definition":55},"Pot Odds","The ratio between the current pot size and the cost to call a bet, used to determine if calling is mathematically profitable — the single most important calculation in poker that separates winning players from losing ones.",{"data":57,"body":58},{},{"type":59,"children":60},"root",[61,68,79,85,163,169,176,457,465,488,494,578,704,710,780,786,846,852,858,863,926,934,1372,1378,1630,1636,1641,2128,2133,2454,2460,2607,2613,2686,2692,2698,2865,2871,3020,3026,3160,3166,3171,3281,3522,3528,3534,3542,3637,3643,3730,3736,3874,3880,3976,3982,3988,3993,4006,4011,4017,4034,4116,4122,4489,4635,4641,4702,4708,4714,4724,4850,4856,4958,4964,5063,5069,5187,5193,5291,5297,5303,5891,5897,5970,5976,6033,6039,6044,6395,6400,6418,6424,6430,6685,6695,6701,6760,6770,6776,6798,6868,6876,6882,6890,6913,6923,6929,6944,6949,6977,6982,6995,7001,7007,7081,7087,7203,7209],{"type":62,"tag":63,"props":64,"children":65},"element","h2",{"id":5},[66],{"type":67,"value":25},"text",{"type":62,"tag":69,"props":70,"children":71},"p",{},[72,77],{"type":62,"tag":73,"props":74,"children":75},"strong",{},[76],{"type":67,"value":25},{"type":67,"value":78}," is the mathematical heart of poker—your rightful share of every pot based on probability. When you hold 40% equity, you own 40% of that pot in expected value terms, regardless of whether you win or lose this specific hand. Equity transforms poker from a game of hunches into a game of mathematical precision. Every decision—calling a bet, raising for value, folding a marginal hand—should be informed by your equity versus your opponents' ranges. Master equity, and you understand poker at its core: making decisions that maximize your expected share of every pot over time.",{"type":62,"tag":63,"props":80,"children":82},{"id":81},"table-of-contents",[83],{"type":67,"value":84},"Table of Contents",{"type":62,"tag":86,"props":87,"children":88},"ul",{},[89,100,109,118,127,136,145,154],{"type":62,"tag":90,"props":91,"children":92},"li",{},[93],{"type":62,"tag":94,"props":95,"children":97},"a",{"href":96},"#understanding",[98],{"type":67,"value":99},"Understanding Equity",{"type":62,"tag":90,"props":101,"children":102},{},[103],{"type":62,"tag":94,"props":104,"children":106},{"href":105},"#calculation",[107],{"type":67,"value":108},"Calculating Equity",{"type":62,"tag":90,"props":110,"children":111},{},[112],{"type":62,"tag":94,"props":113,"children":115},{"href":114},"#preflop",[116],{"type":67,"value":117},"Preflop 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