Pai Gow Poker is unusual among table games: hands are frequently declared a push, commission eats into every win, and players can even rotate into the dealer’s seat as banker. All three factors change the math in ways flat house-edge numbers don’t fully capture.
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This calculator estimates expected value per hand and over a full session, factoring in your bet size, the commission rate charged on wins, and whether you’re playing as a regular player or acting as banker.
It’s built for anyone who wants a clearer picture of what a Pai Gow Poker session is actually likely to cost or return, beyond a single quoted house-edge percentage.
π How to Use the Pai Gow Calculator
Enter your typical bet size and currency, then set the commission rate your casino charges β 5% is standard, though some venues vary this.
Toggle “Act as Banker” if you’re rotating into the banking position, since winning ties against other players changes the underlying win/loss math in the banker’s favor.
Adjust the win/push/loss probability fields if you have your own tracked data; otherwise the pre-filled approximate optimal-strategy figures give a reasonable starting estimate.
π’ Calculator Fields Explained
Bet Amount – your typical wager size per hand.
Currency – the currency symbol applied throughout the calculator.
Role – whether you’re playing as a standard player or acting as banker for the hand.
Commission Rate – the percentage taken from winning bets, typically 5% at most casinos.
Win / Push / Loss Probabilities – your estimated hand outcome rates, editable to reflect your own tracked results.
Number of Hands – how many hands you plan to play in the session being projected.
π° Understanding the Results
| Result Field | What It Means |
|---|---|
| Adjusted Win Probability | Your win rate after applying any banker-role adjustment |
| Adjusted Loss Probability | Your loss rate after applying any banker-role adjustment |
| Push Probability | How often hands are expected to tie (copy hands), returning your stake |
| EV per Hand (%) | Your expected return as a percentage of stake, per hand played |
| EV per Hand | The same figure converted into your currency for one hand |
| EV over N hands | Your total expected result projected across the full session length |
| Active (Non-Push) Hands | How many hands in the session are expected to actually win or lose, excluding pushes |
The high push rate in Pai Gow Poker is worth paying attention to, since it changes how a session actually feels compared to its headline numbers.
A large share of Pai Gow Poker hands push, so your bankroll moves far less per hour than the same bet size would in a game without ties.
This dampened variance is one of the main reasons some players are drawn to the game despite its modest edge either direction.
Roughly a quarter of all Pai Gow Poker hands typically push, returning your stake with no win or loss.
π Calculation Formulas
| Metric | Formula |
|---|---|
| Net Win Per Unit | 1 β commission rate (as a decimal) |
| EV Per Unit Staked | (win probability Γ net win per unit) β (loss probability Γ 1) |
| Session EV | EV per hand (currency) Γ number of hands |
| Active Hands | Number of hands Γ (1 β push probability) |
Commission is only charged on winning hands, so it reduces the effective payout on a win rather than acting as a flat fee on every hand played.
A 5% commission on wins effectively turns a 1:1 payout into a 0.95:1 payout, which is the single biggest drag on Pai Gow Poker’s player-side expected value.
This is why commission rate matters just as much as the underlying win/loss/push probabilities when estimating real expected value.
π Practical Examples
Example 1 β Standard player session: At a 25 bet, 5% commission, and roughly 29.5% win / 26% push / 44.5% loss, expected value per hand comes out modestly negative, in line with the game’s typical small house edge.
Example 2 β Acting as banker: The same inputs with the banker role toggled on shift win probability upward slightly, since the banker wins all copy (tie) hands against player hands, narrowing the gap versus standard play.
Rotating into the banker position, where a casino allows it, is one of the few structural ways a Pai Gow Poker player can shift the math in their favor.
Example 3 β Lower commission venue: Dropping commission from 5% to 4% on the same bet and probabilities measurably improves per-hand EV, showing how much commission rate alone matters.
Example 4 β Long session projection: Over 50 hands at a 25 bet, even a small negative per-hand EV compounds into a noticeable total, while the high push rate keeps around a quarter of those hands bankroll-neutral.
Switching from a 5% to a 4% commission rate can meaningfully shift a session’s expected outcome, even with identical win rates.
π‘ Tips & Best Practices
Track your own actual win/push/loss rates over multiple sessions and enter them here instead of relying solely on generic estimates.
Always confirm the exact commission rate at your specific casino before relying on this calculator’s output, since rates do vary by venue.
If a casino offers a banker rotation, understand the house rules around it (bet matching, house bank requirements) before assuming the banker EV shift applies as calculated.
Remember the high push rate means a Pai Gow Poker session typically moves your bankroll more slowly per hour than an equivalent-stakes game without ties.
Comparing commission rates across a few casinos before choosing where to play Pai Gow Poker regularly can meaningfully improve long-run expected value.
Use the “Active (Non-Push) Hands” figure to set realistic session-length expectations, since it’s a better predictor of actual bankroll movement than raw hand count.
- 5% commission is standard, but always confirm the house rate
- Roughly a quarter of hands typically push in Pai Gow Poker
- Banker rotation, where available, shifts EV modestly in the banker’s favor
If you’re new to the game, spend time with a proper hand-setting strategy chart first β this calculator handles the bankroll math, not the card-by-card decisions.
β οΈ Common Mistakes to Avoid
Ignoring Commission When Estimating Returns
Treating a Pai Gow Poker win as a full 1:1 payout, without accounting for commission, significantly overstates expected returns.
A 5% commission on every win is a real, recurring cost β ignoring it in your own mental math overstates expected returns substantially.
Always factor commission into any manual EV estimate, not just the headline win probability.
Forgetting That Pushes Don’t Move the Bankroll
Counting a push as either a small win or small loss misrepresents session results, since a push simply returns the original stake unchanged.
A pushed hand has zero effect on your bankroll β don’t count it toward either your win total or your loss total when reviewing a session.
This is why the “Active (Non-Push) Hands” figure is more useful than raw hand count for judging real session variance.
Assuming Banker Rotation Is Always Available or Automatic
Not every casino offers player banking, and where it is offered, house rules around matching the bank and playing multiple hands can add real complexity.
Assuming you can always act as banker without checking house rules first is a common and costly misunderstanding.
Confirm the specific banker rules at your casino before relying on the banker-adjusted EV figures here.
Using Generic Probability Estimates Without Adjusting Later
Treating the pre-filled win/push/loss percentages as guaranteed figures, rather than starting estimates, can give a false sense of precision.
Replace them with your own tracked results over time for a more accurate personal EV picture.
π― When to Use This Calculator
Use this tool before or during a Pai Gow Poker session to get a realistic sense of expected costs or returns, especially when comparing commission rates or considering the banker rotation.
Commission and push frequency shape a Pai Gow Poker session at least as much as the underlying win rate β a full picture needs all three.
It’s also useful for comparing two casinos with different commission structures before deciding where to play regularly.
π Related Calculators
Baccarat Calculator, Blackjack Basic Strategy Calculator, Three Card Poker Calculator, House Edge Calculator, Bankroll Drawdown Calculator
π Glossary
Pai Gow Poker – a casino table game where seven cards are split into a five-card and two-card hand, played against a banker.
Commission – the percentage fee taken from winning bets, typically 5%.
Push (Copy Hand) – a tied hand that returns the original stake with no win or loss.
Banker – the position (house or rotating player) that other hands must beat to win.
Expected Value (EV) – the average result of a bet if repeated many times.
House Edge – the built-in statistical advantage a casino holds over players on a given game.
Session – a defined block of hands or time spent playing, used for projecting cumulative results.
Bankroll – the total amount of money set aside for gambling activity.
Variance – the natural short-term unpredictability of individual hand outcomes.
Hand-Setting Strategy – the skill of optimally splitting seven cards into the two required hands, not covered by this calculator.
β Frequently Asked Questions
Why do so many Pai Gow Poker hands end in a push?
The two-hand structure means partial ties (copy hands) happen frequently, since a player can win one hand and lose the other, or match the banker exactly on one hand.
This structural feature is unique among common table games and is the main reason Pai Gow Poker sessions move more slowly than similarly-staked alternatives.
Does acting as banker really improve my expected value?
Generally yes, modestly β the banker wins all copy hands against non-banking players, which shifts the underlying win/loss split somewhat in the banker’s favor.
The size of this advantage depends on house rules around banking eligibility, bank matching requirements, and how often you’re able to rotate into the position.
Always check your specific casino’s banking rules rather than assuming the adjustment applied here matches every venue exactly.
Is a lower commission rate always better for players?
Yes β since commission is only charged on winning hands, a lower rate directly improves expected value with no downside, all else being equal.
Comparing commission rates across casinos before choosing where to play regularly is one of the simplest ways to improve long-run results.
Can I use this calculator without knowing exact hand-setting strategy?
Yes β this tool estimates bankroll and commission math based on outcome probabilities, not the specific card-by-card hand-setting decisions.
Using suboptimal hand-setting strategy will shift your real win/loss rates away from the optimal-strategy estimates used as defaults here.
Why does the calculator treat push probability separately from win and loss?
Because a push has no effect on your bankroll at all, treating it as a distinct category gives a more accurate picture of both EV and session variance.
Folding pushes into win or loss percentages would distort both the EV calculation and the “active hands” session-length estimate.
βοΈ Legal Disclaimer
This calculator is provided for informational and educational purposes only. It does not constitute financial or betting advice, and results should not be treated as a guarantee of any outcome. Default probability figures are approximate estimates and may not reflect actual results at any specific casino or table. Gambling involves risk, and users should only wager what they can afford to lose. Please check the legal status of gambling in your jurisdiction before using any calculator, and seek help if gambling stops being an enjoyable, controlled activity.
The commission structure in Pai Gow Poker is what makes this game mathematically distinct from most table games, and honestly it’s the piece that gets glossed over in casual analysis. Let me break down why the calculator’s emphasis on commission rate mattering as much as win/loss probabilities is actually correct. When you’re looking at a 5% commission on wins, you’re converting what should be a 1:1 payout into 0.95:1. That’s a straight 5% reduction on every winning hand, which compounds across a session. Run a quick Monte Carlo simulation with 100 hands at 29.5% win rate, 5% commission: you’re looking at roughly 29-30 winning hands, each paying out at 0.95x instead of 1x. That’s roughly 1.5 units lost just to commission over a 100-hand session at unit betting. The push probability is equally critical but for a different reason. A 26% push rate means your bankroll experiences significantly lower volatility than blackjack or baccarat at the same bet size, because roughly one in four hands returns your stake untouched. Standard deviation in Pai Gow is materially lower than games without ties. The effective house edge calculation needs to account for this dampened variance. If the underlying win/loss probabilities are roughly 29.5% win versus 44.5% loss with 26% push, your raw expected value per hand works out to (0.295 Γ 0.95) – 0.445 = -0.165, or about -1.65% edge. But that -1.65% edge is experienced over fewer active hands per hour than a comparable bet in blackjack, which changes how bankroll drawdown feels in practice. The banker role toggle is where things get interesting for advantage play. When you’re banking, you win ties, which shifts the probability distribution. A 26% push rate that goes entirely to the house when you’re not banking becomes a 26% win rate when you are. That’s a meaningful swing in EV that casual players rarely account for. The calculator handles this correctly by adjusting win and loss probabilities when the banker toggle activates. Anyone tracking their own data should absolutely feed that into the win/push/loss fields because house rules vary, and even marginal differences in how the game is dealt (six-deck shoe versus eight-deck, for instance) can shift probabilities slightly.
You’ve identified something that most Pai Gow Poker players never formalize: the interplay between commission drag and variance dampening actually creates a unique risk profile. Your Monte Carlo point is well-taken. We ran similar simulations for the calculator’s documentation, and the commission bite really does compound in ways that a simple house-edge percentage obscures. One clarification worth adding: the effective hourly cost depends heavily on table conditions and how many hands are actually played per hour. At a faster-dealing table (say 30 hands/hour), that -1.65% edge translates to roughly 0.5 units/hour at unit betting. But at a leisurely-paced table with frequent side conversations, it might be 15 hands/hour, cutting the expected loss in half. The variance dampening you mentioned also has a practical implication for bankroll sizing that we should have emphasized more: players can often run smaller bankrolls in Pai Gow than in blackjack at the same bet size, because the lower standard deviation means swings are less severe. The banker rotation mechanic is genuinely interesting from a game theory perspective too, because it creates a dynamic where player skill in hand evaluation (which hand to play as high, which as low) becomes the primary edge lever. Commission is fixed, push rates are relatively stable, but hand-splitting decisions directly impact win/loss ratios. Players who consistently split hands optimally versus casually can shift their personal win probability noticeably. Worth testing with tracked data before relying on pre-filled estimates.