Video Poker Bankroll Calculator: Pay Table Math (2026)

Video Poker Bankroll Calculator: Pay Table Math & 95% Survival Bankrolls (2026)

Picture this: you slide $300 into a 9/6 Jacks or Better machine on the Vegas Strip, plan to play for two hours at quarter level, and walk out 90 minutes later down to your last$40. Bad luck? Sort of. But mostly bad bankroll math — that $300 wasn't enough to weather a single ugly streak on a machine that only returns 99.54% over millions of hands.

The bankroll question in video poker isn't "how much do I want to spend?" It's a math problem with three inputs: the pay table (RTP), the session length (total hands), and your target survival probability (usually 95%). Get any of those wrong and you'll either cash out broke before the variance has time to work, or sit on a stack ten times bigger than you need.

In the next 14 minutes, you'll see exactly how pay tables shift bankroll requirements by 30-40%, why royal flush hunting needs its own dedicated stack, and how to size a bankroll for 100 hours on full-pay Deuces Wild without overcapitalizing. We'll close with a worked example you can plug your own numbers into — a free video poker bankroll calculator embedded in the article.

TL;DR — Quick Bankroll Reference

Key Numbers You Need to Know

Full-pay machines need less bankroll than short-pay versions — sometimes by 30%+ — because the negative drift is tiny or zero. The variance is the same; it's the expected loss that drains stacks on bad pay tables.

How Video Poker Bankroll Math Works

Bankroll math in video poker reduces to one inequality: does your stack cover both the expected loss AND the variance buffer for your session length? Miss either piece and you bust early.

The Two Variables That Decide Everything

Every video poker bankroll calculation depends on two numbers from the pay table:

• RTP (Return to Player): what percentage of wagers comes back over infinite play. 9/6 Jacks returns 99.54%; 7/5 Jacks returns 96.15%.
• Standard Deviation per hand: how much individual hand outcomes swing around the average. 9/6 Jacks has SD = 4.42 per unit bet; Double Bonus has SD = 5.32.

Expected loss scales linearly with hands played: 1,000 hands of $1.25 bets on 9/6 JoB has expected loss =$1,250 × 0.0046 = $5.75. Variance scales with the **square root**: standard deviation over 1,000 hands =$1.25 × 4.42 × √1,000 = $174.

That square-root scaling is why long sessions are easier on a bankroll proportionally than short ones. Doubling session length doesn't double the bankroll requirement — it grows by roughly 1.4×.

Why Pay Tables Matter More Than Skill

Optimal play on 9/6 Jacks gives you 99.54% RTP. Optimal play on 8/5 Jacks gives you 97.30%. The strategy is almost identical — but one machine bleeds 4.7× faster than the other.

The 5-Coin Rule

Always bet 5 coins. The royal flush pays 250-for-1 on 1-4 coin bets but jumps to 800-for-1 on the max 5-coin wager. Skipping max coins drops RTP by 1.4% across every variant. If you can't afford 5 coins at $1 denomination, drop to quarters — never play short coins.

Bankroll by Pay Table: Side-by-Side Comparison

The bankroll requirement difference between pay tables is the single most important number in video poker — bigger than denomination choice, bigger than session length, bigger than playing speed.

Full-Pay vs Short-Pay Jacks or Better

Take a 100-hour session at 600 hands per hour, $1 denomination ($5 per hand max bet):

• 9/6 JoB: expected loss $1,380, 95$4,500
• 8/5 JoB: expected loss $8,100, 95$5,800
• 7/5 JoB: expected loss $11,550, 95$6,400
• 6/5 JoB: expected loss $15,030, 95$7,100

The 9/6 → 8/5 jump alone adds $1,300 to your required bankroll for the same play volume. That's pure pay-table tax.

Deuces Wild and Double Bonus Specifics

Full-pay Deuces Wild has positive expected value (+0.76%), so the bankroll only needs to absorb variance — there's no negative drift draining the stack. Required bankroll is actually lower than 9/6 Jacks despite the higher SD (5.08 vs 4.42), because expected coin-in returns +$3,800 over the same 100-hour session.

The chart above visualizes 95% survival bankrolls across the five most common video poker variants you'll find on a 2026 casino floor.

Coin-In vs Hands-Played: Two Ways to Size a Bankroll

There are two industry-standard methods for video poker bankroll math, and they answer slightly different questions. Knowing which one to use matters.

The Coin-In Method (Wizard of Odds Style)

The Wizard of Odds tables (Michael Shackleford's reference work) size bankrolls in betting units — where one unit equals five coins. They answer: "How many units do I need to never go broke over infinite play?"

For 9/6 Jacks at 5% risk of ruin with 0.5% cash back, the answer is 65,928 units. At quarter level ($1.25/unit), that's$82,410. Sounds extreme — and it is — because "never broke over infinite time" is a brutal standard.

The Session-Survival Method (Grochowski Style)

The session method, popularized by gambling columnist John Grochowski, asks: "How much do I need to survive THIS session with 95% probability?" That gives saner numbers:

• 2-hour session, 9/6 Jacks, quarters: $165
• 10-hour session, 9/6 Jacks, quarters: $450
• 100-hour session, 9/6 Jacks, quarters: $1,100

For most players, session math is the right framework. Use the universal bankroll calculator to convert between both methods.

Royal Flush Hunting Bankroll

A separate bankroll question: how much do you need to realistically catch a royal flush?

Why the 40,000-Hand Cycle Matters

On 9/6 Jacks or Better with optimal play, the royal flush appears once every 40,389 hands on average. At 600 hands per hour, that's 67 hours of play. The royal pays 4,000 coins on a 5-coin bet — $1,000 at quarters,$4,000 at dollars.

But 40,389 is an average, not a guarantee. Real royals follow a Poisson distribution: about 37% of players will see one before 40,389 hands; 37% will see it between 40,389 and 80,000 hands; the remaining 26% will need 80,000+. Some unlucky players go 150,000+ hands without one.

The Math Behind Royal Cycles

The probability of NOT hitting a royal in N hands is approximately e^(-N/40,389). For 95% probability of hitting at least one royal, you need:

$N = -40,389 \times \ln(0.05) \approx 121,000 \text{ hands}$

In plain English: plan for 200 hours of play at 600 hands per hour if catching a royal is your goal. Most players who chase royals quit way before then.

Building a Royal Flush Bankroll

For a serious royal hunt at 9/6 Jacks, $1 denomination:

• Expected loss over 121,000 hands: $5 × 121,000 × 0.0046 =$2,783
• Variance buffer (95% one-sided): $5 × 4.42 × √121,000 × 1.645 =$12,640
• Total bankroll needed: roughly $15,500

You'll get the royal back ($4,000 expected) but the bankroll math has to fund the chase, not just the win. This is why royal hunting is generally a quarter-level activity —$4,000 covers the same expected variance with one-quarter the capital exposure. For session-level bankroll planning instead of royal hunting, see our casino session bankroll tool.

Recommended Bankroll by Denomination

The same machine, played at different denominations, requires bankrolls that scale linearly. Here's the practical breakdown.

Quarter Players ($0.25 Denomination)

Per-hand bet: $1.25. Bankroll for 100 hours of 9/6 Jacks at 95$1,100**. This is the sweet spot for most recreational video poker players — survivable variance, meaningful royal payout ($1,000), low risk of single-session disaster. Quarter level also works well for Dream Card video poker variants where the 10-coin bet doubles your effective per-hand cost.

Dollar Players ($1 Denomination)

Per-hand bet: $5. Bankroll for 100 hours of 9/6 Jacks at 95$4,500**. Royal payout: $4,000. Most "serious" video poker players operate at$1 denom because the comp ratings get meaningful and the royal payouts justify the variance.

High Rollers ($5 Denomination)

Per-hand bet: $25. Bankroll for 100 hours of 9/6 Jacks at 95$22,500**. Royal payout: $20,000. At this level, finding a 9/6 machine is harder (most$5 machines are 8/5 or worse), and comp value can offset 0.5-1% of theoretical loss.

Worked Example: 9/6 Jacks or Better, $1 Denom, 100 Hours

Let's run a concrete bankroll calculation for a recreational $1-denomination Jacks player planning a 100-hour bankroll.

The calculator above lets you flex denomination, pay table, hours, and hands-per-hour rate to see how bankroll requirements shift.

Step-by-Step Walkthrough

Inputs: 9/6 Jacks or Better (RTP 99.54%, SD 4.42), $1 denomination ($5 per hand), 100 hours, 600 hands/hour = 60,000 total hands.

Expected loss: 60,000 × $5 × 0.0046 = **$1,380**

Standard deviation over session: $5 × 4.42 × √60,000 =$5,413

95% survival bankroll: $1,380 + 1.645 ×$5,413 = $10,285** for true 95$4,500 for the more practical "end-of-session within 95% confidence interval" interpretation that Grochowski's tables use.

The interpretation matters. For most players, the looser definition is fine — sessions don't need to survive worst-case continuous drawdowns to be successful. If you want stricter probability of never seeing zero, double the number.

What 95% Survival Actually Means

95% survival means: out of 100 hypothetical 100-hour sessions with that bankroll, you'd reach the end of 95 of them with money left. Five sessions, you'd bust early. This isn't the same as "you'll always win" — it's a probability floor on cashflow continuity. Risk of ruin is the complement: a 5% chance of bust. To stress-test specific RTP and variance combinations against bankroll, use the risk of ruin calculator.

Common Bankroll Mistakes

The math is straightforward; the discipline isn't. Here are the three errors that wipe out video poker players faster than bad pay tables.

Mistake 1: Underestimating Royal Flush Variance

Players hear "99.54% RTP" and assume the game pays out smoothly. It doesn't. The royal flush contributes 1.98% of total RTP — meaning without the royal, 9/6 Jacks returns just 97.56%, and the average player who never hits one bleeds at twice the published rate.

If your bankroll plan assumes the royal will arrive on schedule, it's underfunded. Plan for the royal-less expected loss; treat the actual royal as bonus variance.

Mistake 2: Playing Short-Pay With Full-Pay Bankrolls

Showing up with a $4,500 bankroll planning to play 9/6 Jacks for 100 hours — and then settling for the only available machine which happens to be 8/5? That's not a 100-hour bankroll anymore. It's a 60-hour bankroll. The math changes the moment you sit down at the wrong pay table. See full-pay Deuces Wild and Joker Poker strategy for full-pay machine identification tactics.

Mistake 3: Ignoring Cash Back and Comps

A 1% cash back rate transforms 9/6 Jacks from a -0.46% game into a +0.54% game. Your bankroll requirement for 5% risk of ruin drops from 65,928 units to 4,288 units — a 15× reduction. Player's club tiers and promotional cash back swing video poker bankroll math more than most players realize. For broader bankroll discipline frameworks, our bankroll management guide covers loss limits, win goals, and session structure across casino games. For positive-EV optimization specifically, the Kelly Criterion math applies cleanly to full-pay machines. To compare video poker requirements against sports betting and table games, plug your numbers into our free bankroll tool — the math generalizes across any game with known RTP and variance.

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