CasinoMath logoCasinoMath
Pai Gow Poker Calculator

Pai Gow Poker EV, Commission & Push Calculator

Compare standard commission vs no-commission rules, model expected loss over multiple hands, understand push frequency, and see why side bets are expensive. For education, not a solver.

Original 7-card hand
A
A
A
A
K
K
Q
Q
J
J
10
10
9
9
SPLIT INTO
High Hand (5 cards)
A
A
K
K
Q
Q
J
J
10
10
Low Hand (2 cards)
A
A
9
9
PLAYERHigh + LowBANKERHigh + LowPUSH ZONE5% COMMISSION
Selected Rules

Standard Commission (5%)

Low Volatility
House Edge
2.70%
Total Action
$2,500.00
Expected Loss (Total)
$67.50
Expected Loss (Per Hand)
$0.68
Total Hands
100
Estimated Pushes
~41
Resolved Hands
~59

Commission vs No-Commission

Side-by-side expected loss comparison on $2,500.00 of action.

Standard Commission (5%)
$67.50
House edge: 2.70%
No-Commission
$65.00
House edge: 2.60%

The difference between commission and no-commission is small. Neither format offers positive expected value.

Expected Loss Benchmarks

Action
$100.00
Expected Loss
$2.70

Low volatility — ~41% of hands push and return your bet.

Action
$500.00
Expected Loss
$13.50

Low volatility — ~41% of hands push and return your bet.

Action
$1,000.00
Expected Loss
$27.00

Low volatility — ~41% of hands push and return your bet.

Outcome Scenarios

How the two-hand comparison resolves into win, loss, or push.

Player wins both hands

Win
High Hand
Win
Low Hand
Win

The player beats the banker's high hand and low hand. The player wins even money minus commission.

Player loses both hands

Lose
High Hand
Lose
Low Hand
Lose

The banker beats the player on both hands. The player loses the entire bet.

Split: player wins high, loses low

Push
High Hand
Win
Low Hand
Lose

Each side wins one hand. The result is a push and the bet is returned.

Split: player wins low, loses high

Push
High Hand
Lose
Low Hand
Win

Same as above — one win and one loss equals a push regardless of which hand wins.

Exact copy (tie goes to banker)

Lose
High Hand
Lose
Low Hand
Lose

If both the player and banker have the same hand, the banker wins. This is a small but meaningful edge source.

Side Bet Warning

Side bets carry much higher house edges than the base game.

Fortune Bonus~7% to ~8%

Pays on the quality of your seven-card hand regardless of how you set it. The house edge is much higher than the base game.

Progressive JackpotVaries widely

Often carries a very high house edge. The jackpot contribution is typically small relative to the side bet cost.

Pai Gow Insurance~7% to ~9%

Pays when you receive a hand with no pair or better (a Pai Gow hand). The edge is still substantially higher than the base game.

Dealer Bonus~6% to ~8%

Pays when the dealer's hand qualifies for bonus payouts. The player has no strategic influence over dealer cards.

Hand-Setting Examples

Fixed educational examples — not outputs from an optimal solver.

Hand
A-A-K-Q-J-10-9
Recommended High
A-K-Q-J-10
Recommended Low
A-9

Splitting the aces gives the low hand a strong anchor while keeping a powerful high hand.

Common Mistake

Keeping both aces in the high hand leaves the low hand very weak.

Hand
K-K-Q-Q-7-5-3
Recommended High
K-Q-7-5-3
Recommended Low
K-Q

Splitting the two pair gives the low hand a strong K-Q while the high hand still holds a pair of kings.

Common Mistake

Keeping both pairs in the high hand wastes strength that the low hand needs.

Hand
A-K-Q-J-10-8-4
Recommended High
A-K-Q-J-10
Recommended Low
8-4

The straight is too strong to break. Accept the weak low hand because the high hand will almost certainly win.

Common Mistake

Breaking the straight to strengthen the low hand usually loses more than it gains.

Hand
J-J-J-9-7-5-2
Recommended High
J-J-9-7-5
Recommended Low
J-2

Splitting one jack to the low hand gives it a face card while the high hand retains a pair of jacks.

Common Mistake

Keeping three jacks in the high hand leaves the low hand hopeless against most banker hands.

House Edge Guide

Why commission and copy rules create the edge.

Expected Value

The formula behind every expected loss result.

Compare Blackjack

Higher volatility, lower edge with basic strategy.

Responsible Gaming

This content is for educational purposes only. Gambling involves real financial risk and can be addictive. The house always has a mathematical advantage—there is no guaranteed winning strategy.

Responsible Gaming ResourcesIf you need help: ncpgambling.org (US) or GamCare (UK)