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Pai Gow Poker gives card players the best of both worlds. This exciting game combines the ancient Chinese game of Pai Gow with the American classic, poker. Played with a regular deck of 52 cards plus one joker – which can be used only as an ace, or to fill out a straight, flush or a straight flush – the game produces some robust card. What to do now: If you don't know how to play Pai Gow, start with Chapter 1 of the Pai Gow Tutorials for an easy introduction to the game. If you are already an experienced player, discover how the Denenberg Strategy can improve your results at the table. Experience players will also find fascinating new information and explanations in our Tutorials.The essays will improve.

Pai gow (Chinese: 牌九; pinyin: pái jiǔ; Jyutping: paai4 gau2) is a Chinesegamblinggame, played with a set of 32 Chinese dominoes. It is played in major casinos in China (including Macau); the United States (including Boston, Massachusetts; Las Vegas, Nevada; Reno, Nevada; Connecticut; Atlantic City, New Jersey; Pennsylvania; Mississippi; and cardrooms in California); Canada (including Edmonton, Alberta and Calgary, Alberta); Australia; and, New Zealand.

The name 'pai gow' is sometimes used to refer to a card game called pai gow poker (or “double-hand poker”), which is loosely based on pai gow.

Rules[edit]

Starting[edit]

Tiles are shuffled on the table and are arranged into eight face-down stacks of four tiles each in an assembly known as the woodpile. Individual stacks or tiles may then be moved in specific ways to rearrange the woodpile, after which the players place their bets.

Next, each player (including the dealer) is given one stack of tiles and must use them to form two hands of two tiles each. The hand with the lower value is called the front hand, and the hand with the higher value is called the rear hand. If a player's front hand beats the dealer's front hand, and the player's rear hand beats the dealer's rear hand, then that player wins the bet. If a player's front and rear hands both lose to the dealer's respective hands, the player loses the bet. If one hand wins and the other loses, the player is said to push, and gets back only the money he or she bet. Generally seven players will play, and each player's hands are compared only against the dealer's hands; comparisons are always front-front and rear-rear, never one of each.

There are 35,960 possible ways to select 4 of the 32 tiles when the 32 tiles are considered distinguishable. However, there are 3620 distinct sets of 4 tiles when the tiles of a pair are considered indistinguishable. There are 496 ways to select 2 of the 32 tiles when the 32 tiles are considered distinguishable. There are 136 distinct hands (pairs of tiles) when the tiles of a pair are considered indistinguishable.

Basic scoring[edit]

The name 'pai gow' is loosely translated as 'make nine' or 'card nine'. This reflects the fact that, with a few high-scoring exceptions, the maximum score for a hand is nine. If a hand consists of two tiles that do not form a pair, its value is determined by adding up the total number of pips on the tiles and dropping the tens digit (if any). Examples:

• 1–3 with 2-3: value 9 (nine pips altogether)
• 2–3 with 5-6: value 6 (16 pips; drop the 10)
• 5–5 with 4-6: value 0 (20 pips; ones digit is zero)

Gongs and Wongs[edit]

There are special ways in which a hand can score more than nine points. The double-one tiles and double-six tiles are known as the Day and Teen tiles, respectively. The combination of a Day or Teen with an eight results in a Gong, worth 10 points, while putting either of them with a nine creates a Wong, worth 11. However, when a Day or Teen is paired with any other tile, the standard scoring rules apply.

Gee Joon tiles[edit]

The 1-2 and the 2-4 tiles are called Gee Joon tiles and act as limited wild cards. When used as part of a hand, these tiles may be scored as either 3 or 6, whichever results in a higher hand value. For example, a hand of 1-2 and 5-6 scores as seven rather than four.

Pairs[edit]

The 32 tiles in a Chinese dominoes set can be arranged into 16 pairs, as shown in the picture at the top of this article. Eleven of these pairs have identical tiles, and five of these pairs are made up of two tiles that score the same, but look different. (The latter group includes the Gee Joon tiles, which can score the same, whether as three or six.) Any hand consisting of a pair outscores a non-pair, regardless of the pip counts. (Pairs are often thought of as being worth 12 points each.)

When the player and dealer both have a pair, the higher-ranked pair wins. Ranking is determined not by the sum of the tiles' pips, but rather by aesthetics; the order must be memorized. The highest pairs are the Gee Joon tiles, the Teens, the Days, and the red eights. The lowest pairs are the mismatched nines, eights, sevens, and fives.

Ties[edit]

When the player and dealer display hands with the same score, the one with the highest-valued tile (based on the pair rankings described above) is the winner. For example, a player's hand of 3-4 and 2-2 and a dealer's hand of 5-6 and 5-5 would each score one point. However, since the dealer's 5-5 outranks the other three tiles, he would win the hand.

If the scores are tied, and if the player and dealer each have an identical highest-ranking tile, the hand is ruled a copy and the dealer wins. For example, if the player held 2-2 and 1–6, and the dealer held 2-2 and 3–4, the dealer would win since the scores (1 each) and the higher tiles (2-2) are the same. The lower-ranked tile in each hand is never used to break a tie.

There are two exceptions to the method described above. First, although the Gee Joon tiles form the highest-ranking pair, they are considered to have no value when evaluating ties. Second, any zero-zero tie is won by the dealer, regardless of the tiles in the two hands.

Strategy[edit]

The key element of pai gow strategy is to present the optimal front and rear hands based on the tiles dealt to the player. There are three ways to arrange four tiles into two hands when no two of them form a pair. However, if there is at least one pair among the tiles, there are only two distinct ways to form two hands.

Using the tiles shown at right, the following hands and scores are possible:

• A and B (0), C and D (0)
• A and C (5), B and D (5)
• A and D (3), B and C (7)

The player must decide which combination is most likely to give a set of front/rear hands that can beat the dealer, or at least break a tie in the player's favor. In some cases, a player with weaker tiles may deliberately attempt to attain a push so as to avoid losing the bet outright. Many players rely on superstition or tradition to choose tile pairings.

See also[edit]

External links[edit]

• Pai gow lore at Wizard of Odds website (Michael Shackleford)

Introduction

This section contains my analysis of the following pai gow poker side bets:

Dealer Bonus

Please see my page on the Dealer Bonus for information on that side bet.

Fortune Pai Gow Poker

Please see my page on the Fortune side bet for information on that side bet.

Jackpot Pai Gow Poker

'Jackpot' is a side bet I noticed at the Rio in November 2005. The game was closed at the time so the top prize was not evident, but according to the Shufflemaster web site it is alternatively $25,000, $50,000, or $100,000.

The following table shows the probability and return for each possible event. A $100,000 for the top win is assumed and a $5 bet, for a win of 20,000 to one. The table also assumes the player will always set his hand to maximize the value of the side bet, at the possible cost of his pai gow poker bet. The lower left cell shows a house edge of 2.21%, which for a side bet is pretty good.

Jackpot Pai Gow Poker Return Table

* Both royal flush and pair of aces must be natural (no joker) for highest win.

If the top prize is less than $100,000, or the player bets more than $5 on the side bet, the return will be slightly less. The next table shows the house edge according to various other wins for a natural royal plus pair of aces according to the win on a to one basis.

House Edge by Highest Win

Emperor's Challenge

Emperor's Challenge is a side bet I noticed at Hooter's Casino in Las Vegas in April, 2006. The following return table shows the probability and return of all possible outcomes. The lower right cell shows a house edge of 4.171%.

Emperor's Challenge Return Table

I hear that in Washington State the player must bet at least $5 to qualify for the pai gow hands.

Progressive Pai Gow Poker

The Falls View casino in Niagara Falls Ontario offers 'Progressive Pai Gow Poker'. This is basic pai gow poker with an added $5 side bet.

The following table shows the return table based on a breakeven meter of 20536.05 bet units, which for a $5 bet is $102,680.24. The house edge at all other times is 11.5428% less 1.1242% for every $10,000 in the meter.

Progressive Pai Gow Poker Return Table

Free Pai Gow Play

Pai Gow Insurance

Pai gow 'Insurance' is a side bet that I noticed at the Red Rock casino in August, 2008. It appeared along with the Emperor's Challenge side bet. A 'pai gow' in pai gow poker is a hand with seven singletons, where no straight or flush is possible. This side bet wins if the player had a pai gow, the lower the highest card, the more it pays. The following return table shows the details. The lower right cell shows a house edge of 7.35%.

Pai Gow Insurance

Lucky 8's

Please see my page on the Lucky 8's for information on that side bet.

Pai Gow'd

Pai Gow'd is a side bet I noticed at the Four Queens on December 26, 2011. It is exactly like Pai Gow Insurance, explained above, but with a modified pay table. The lower right corner of the odds table below shows a house edge of 6.44%.

Pai Gow'd

The Jokolor is a side bet mentioned on page 85 in the a document titled Rules of casino games in Great Britain (1124K). The side bet wins if the player has a joker and/or all cards of the same color. The following table shows the house edge is 3.90%.

Jokolor

This side bet is paired with pai gow poker games, including EZ Pai Gow, offering the G3 electronic side bet wagering. As far as I can tell at the Rampart casino, it is just titled the 'Bonus Bet.'

Bonus Bet Return Table

The next table shows the overall house edge according to the number of players, including yourself, and various bet amounts. Note that the high edge is lowest at a bet of $1. This is because the win for the Envy Bonus is the same, regardless how much the player bets.

Bonus Bet House Edge

This is a progressive side bet found with G3 electronic betting units. The player may bet $1 to $25. All jackpot wins are the same, regardless of bet size, so I would never bet more than $1. As usual with progressive bets, wins are on a 'for one' basis. That means you don't get your original bet back, even if you win. To be consistent with other pages on this site, the following page is on a 'return basis,' meaning what the player can expect to get back for his bet, based on a $1 bet.

G3 Progressive

The bottom right corner shows a return of 46.27% on all fixed wins. The value of the progressive is 22.11% for each $100,000 in the meter. To reach 100% the meter would need to be $243,011.06.When I saw this bet at the Rampart casino on March 17, 2011, the meter was at $207,361, for a return of 92.12%. This was probably unusually high, because the Rampart has had a truck with a big sign in the back drive around Summerlin promoting the large jackpot.

Pai Gow Table

My Pai Gow Poker Offerings

Pai Gow Online

Pai Gow Game