Pai Gow Poker Bonus Odds

Online Pai Gow Poker guide. Pai Gow is an unusual card game that can best be described as like Blackjack for Poker players - you play against the dealer, but have to form two Poker hands. Although simple, there is plenty scope for players who want to develop an optimal playing strategy. Another section of our website that you can use to get a comprehensive understanding of how the game of pai gow poker works is our pai gow poker odds section. This section covers the probabilities of certain scenarios that you may encounter while playing pai gow poker and it also explains your overall odds of winning.

  1. Pai Gow Poker Bonus Odds
  2. Pai Gow Poker Bonus Payouts
  3. Pai Gow Poker Hands
  4. Pai Gow Poker Bonus Odds

Wizard Recommends

Pai gow poker shares similarities with other poker games but uses a 53-card deck: the standard 52 cards plus the joker. It is played with a dealer and a maximum of 6 players around the pai gow poker table. Pai-Gow Hand Rankings. While most of the rankings in double-hand poker are the same as regular poker, there are a few minor differences. Five of a Kind - The highest possible pai gow poker hand, it's comprised of four aces and a joker. Royal Flush - Made up of the following cards in the same suit: A, K, Q, J, 10. Basic Pai Gow Poker Odds. The game of Pai Gow is played with 53 cards – a standard 52-card deck and a joker. There are 154,143,080 possible hand combinations that can emerge from those 53 cards. You’ll remember that Pai Gow Poker is based on traditional hand rankings.

  • €1500 Welcome Bonus
  • €100 + 300 Free Spins
  • 100% Welcome Bonus

On This Page

Introduction

Pai Gow Poker is a variation of the Chinese domino game pai gow. The game is known for a slow rate of play and lots of pushes, resulting in low risk game. While a game of skill, most hands are obvious how to play, and it is not difficult to learn proper strategy for the rest of them. Every player plays against the same dealer hand, which causes the table to often win and lose together, resulting in a fun and social game.

Pai Gow Poker - How to Play Video

History

Poker

Pai Gow Poker was invented in 1985 by Sam Torosian, owner of the Bell card club in southern California. However, his is a name few people recognize. While other have made millions inventing casino games, Sam received some bad legal advice that card games were not patentable, and never filed one for his game. When his game was a success at his own casino there was nothing to prevent competing casinos from offering the game as well, and they didn't have to pay Sam a dime.

Source: Casino Boss Can't Cash In on Game He Developed — Los Angeles Times, Nov. 3, 2002.

The Rules

  1. A single 53-card deck is used, consisting of the usual 52 cards, plus one joker.
  2. The joker is semi-wild. It may be used as an ace, or to complete a straight, flush, or straight flush, or royal flush. After the player makes a bet, the dealer will deal the player and himself seven cards each.
  3. Standard poker ranking rules are followed with one strange exception — the A2345 straight (known as 'the wheel') is considered the second highest straight. Some casinos have dropped this ridiculous rule, but most still cling to it.
  4. The player will separate his seven cards into a five-card high hand, and two-card low hand. The high hand must be of higher poker value than the low hand.
  5. The five-card hand is ranked according to conventional poker rules. The only poker hand in the two-card hand is a pair or no pair, after which the individual cards determine the value.
  6. After the player has set his hand, the dealer will turn over his cards and divide his hand in the same manner, according to specified rules known as the 'house way.'
  7. The two high hands will be compared, and the two low hands, the hand with the higher poker value winnings. If the event of a tie, for example both two-card hands are ace/king, then the tie has go to the 'banker.'
  8. If the player wins both comparisons, then the player will win even money on his bet, less a 5% commission. If the player wins one and loses one, then the bet shall push. If the player loses or ties both, then the player shall lose his wager.
  9. Unlike most casino games, the player may bet against the dealer, and other players in pai gow poker. This is known as 'banking.'
  10. The turn to act as banker is supposed to rotate around the table, but at some casinos it zig-zags between the dealer and each player in turn.
  11. The player may always decline to bank (which usually happens), in which case the option will revert to the next player, or dealer.

Strategy

I'm very proud to present my pai gow strategy page. It contains simple, intermediate, and advanced strategies for both playing as the banker, against the banker, and combined. This page took months for my assistant JB to create so I hope you'll have a look.

For your convenience, I also have my one-page simple pai gow poker strategy (PDF).

House Edge

The house advantage in Pai Gow Poker depends on partially on your skill setting hands but more on how much of the action you bank. I plan to publish some pai gow poker strategy in January, 2014. Until then, the following tables show the probability of each possible outcome and the expected value four ways — whether using the house way or optimal strategy and whether banking or the dealer is banking.

House way Strategy — Dealer Banker

EventPaysCombinationsProbabilityReturn
Win0.952,402,491,783,820,7560.2911950.276635
Push03,341,087,256,920,5240.4049580.000000
Loss-12,506,879,990,473,1200.303847-0.303847
Total8,250,459,031,214,3901.000000-0.027212

House Way Strategy — Player Banker

EventPaysCombinationsProbabilityReturn
Win0.952,506,879,990,473,1200.3038470.288655
Push03,341,087,256,920,5240.4049580.000000
Loss-12,402,491,783,820,7560.291195-0.291195
Total8,250,459,031,214,3901.000000-0.002540

Optimal Strategy — Dealer Banker

EventPaysCombinationsProbabilityReturn
Win0.952,413,147,766,131,8480.2924860.277862
Push03,337,551,044,510,6960.4045290.000000
Loss-12,499,760,220,571,8560.302984-0.302984
Total8,250,459,031,214,4001.000000-0.025122

Optimal Strategy — Player Banker

Bonus
EventPaysCombinationsProbabilityReturn
Win0.952,521,011,760,499,3000.3055600.290282
Push03,330,840,908,447,7080.4037160.000000
Loss-12,398,606,362,267,3920.290724-0.290724
Total8,250,459,031,214,3901.000000-0.000442

The following table summarizes the expected value under all four scenarios. The 'difference' row and column show that banking, compare to not banking, increases expected value by 2.47%. The difference between following the house way and the theoretical optimal strategy, which I'm quite sure nobody knows, is 0.21%.

Summary

BankerHouse WayOptimalDifference
Player-0.002540-0.0004420.002098
Dealer-0.027212-0.0251220.002090
Difference0.0246720.024680

Pai Gow Poker Bonus Odds

Commission Free Pai Gow Poker

Often in Washington State the casino will not charge the 5% commission on banker wins. They make a profit on the banker's advantage and side bets only. With no commission, the banker has a 1.30% advantage, and all others playing against the banker a 1.30% disadvantage.

Poker

Banking Against Yourself

Sometimes, when a player invokes his right to bank, the other players will want a shot at whatever the side bet is, but dislike betting against another player on the primary wager. Another reason this might be done is to 'change the luck' at the table. In this case, non-banking players may make a deal with the banking player that if one beats the other, the winner will refund the loser, less the 5% commission. It is essentially banking against yourself through a gentleman's agreement with the banker. The dealer will have nothing to do with it. In some casinos, they will overtly not allow it, although it may be hard to prevent, especially if the deal is made in a foreign language the dealer doesn't know. I mention this as a warning that you may be asked to do this, if you choose to bank. How you respond is up to you, but I will say it may cause some ill-will at the table if you say 'no.'

There is a discussion of this in my forum at Wizard of Vegas.

The House Way

The house way is how the dealer arranges their own hand. It can vary from place to place the differences are marginal and happen infrequently. The house way is available for the following casinos:

  • Great Britain (1124K PDF; see page 80)
  • Silver Dollar (Washington)
  • IGW (Software for Arrow's Edge Internet casinos)

Pai Gow Poker Probabilities

The following table shows the probability of forming any specified poker hand. These probabilities consider all seven cards and without regard to how the player may play the hand.

Probabilities in Pai Gow Poker

Pai Gow Poker Bonus Payouts

HandCombinationsProbability
Five Aces1,1280.00000732
Straight/Royal Flush210,9640.00136862
Four of a Kind307,4720.00199472
Full House4,188,5280.02717299
Flush6,172,0880.04004129
Straight11,236,0280.07289350
Three of a Kind7,470,6760.04846585
Two Pair35,553,8160.23065464
One Pair64,221,9600.41663862
All Other24,780,4200.16076246
Total154,143,0801

Note: The number of combinations for a Royal Flush is 26,132; 21,620 wild and 4,512 natural.

Internal Links

  • pai gow strategy page.
  • pai gow poker simple strategy (PDF).
  • Ask the Wizard questions about Pai Gow Poker.
  • EZ Pai Gow Poker.
  • Commission Free Pai Gow Poker.
  • Dealer Probabilities: Shows the probability the dealer will form any given hand or less. Useful for making accurate strategy decisions.
  • When to split Two Pair: My advice on when to split two pair.
  • Side Bets: Analysis of various side bets such as Fortune, Jackpot, and Emperor's Challenge.
  • No Push Pai Gow Poker: My analysis of this Pai Gow Poker variant.
  • Pai Gow Mania: My analysis.
  • Play Pai Gow Poker. Play my Pai Gow Poker game.
  • Face Up Pai Gow Poker — Variant where the dealer's cards are dealt face up.

External Links

German translation of this page.

Wizard Recommends

  • €1500 Welcome Bonus
  • €100 + 300 Free Spins
  • 100% Welcome Bonus

On This Page

Pai Gow Poker Hands

Introduction

This calculator will analyze any Pai Gow Poker hand. Select seven cards and the results will appear below the entry form. Note that the results do not show invalid plays or duplicates of a valid play that is already listed.

While the strategy should be effective against any house way, the exact figures are specific to the Foxwoods rules:

Pai Gow Poker Bonus Odds

  • The dealer uses the Foxwoods house way
  • A2345 is the lowest Straight or Straight Flush
  • Winning bets pay even money minus a 5% commission
  • Prepaying (betting) the commission is not permitted