Learn how to play Pai Gow Poker online with Ignition’s Pai Gow Poker Guide. Learn all about the great game of Pai Gow Poker, including Pai Gow strategy and learn the rules for playing your cards right.
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.
- 1Rules
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. Slot inferno no deposit bonus codes.
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.) If a hand is made up of a pair, it always scores higher than a non-pair, no matter what the value of the pips are. (Pairs are often thought of as being worth 12 points each.)
https://omgmother.netlify.app/classic-free-casino-slot-games.html. 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]
https://omgmother.netlify.app/planet7-no-deposit-bonus-codes.html. 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]
Wikimedia Commons has media related to Pai Gow. |
- Pai gow lore at Wizard of Odds website (Michael Shackleford)
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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 Strategy Tips
History
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
- A single 53-card deck is used, consisting of the usual 52 cards, plus one joker.
- 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.
- 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.
- 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.
- 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.
- 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.'
- 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.'
- 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.
- Unlike most casino games, the player may bet against the dealer, and other players in pai gow poker. This is known as 'banking.'
- 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.
- 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
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Win | 0.95 | 2,402,491,783,820,756 | 0.291195 | 0.276635 |
Push | 0 | 3,341,087,256,920,524 | 0.404958 | 0.000000 |
Loss | -1 | 2,506,879,990,473,120 | 0.303847 | -0.303847 |
Total | 8,250,459,031,214,390 | 1.000000 | -0.027212 |
House Way Strategy — Player Banker
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Win | 0.95 | 2,506,879,990,473,120 | 0.303847 | 0.288655 |
Push | 0 | 3,341,087,256,920,524 | 0.404958 | 0.000000 |
Loss | -1 | 2,402,491,783,820,756 | 0.291195 | -0.291195 |
Total | 8,250,459,031,214,390 | 1.000000 | -0.002540 |
Optimal Strategy — Dealer Banker
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Win | 0.95 | 2,413,147,766,131,848 | 0.292486 | 0.277862 |
Push | 0 | 3,337,551,044,510,696 | 0.404529 | 0.000000 |
Loss | -1 | 2,499,760,220,571,856 | 0.302984 | -0.302984 |
Total | 8,250,459,031,214,400 | 1.000000 | -0.025122 |
Optimal Strategy — Player Banker
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Win | 0.95 | 2,521,011,760,499,300 | 0.305560 | 0.290282 |
Push | 0 | 3,330,840,908,447,708 | 0.403716 | 0.000000 |
Loss | -1 | 2,398,606,362,267,392 | 0.290724 | -0.290724 |
Total | 8,250,459,031,214,390 | 1.000000 | -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
Banker | House Way | Optimal | Difference |
---|---|---|---|
Player | -0.002540 | -0.000442 | 0.002098 |
Dealer | -0.027212 | -0.025122 | 0.002090 |
Difference | 0.024672 | 0.024680 |
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.
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
Hand | Combinations | Probability |
---|---|---|
Five Aces | 1,128 | 0.00000732 |
Straight/Royal Flush | 210,964 | 0.00136862 |
Four of a Kind | 307,472 | 0.00199472 |
Full House | 4,188,528 | 0.02717299 |
Flush | 6,172,088 | 0.04004129 |
Straight | 11,236,028 | 0.07289350 |
Three of a Kind | 7,470,676 | 0.04846585 |
Two Pair | 35,553,816 | 0.23065464 |
One Pair | 64,221,960 | 0.41663862 |
All Other | 24,780,420 | 0.16076246 |
Total | 154,143,080 | 1 |
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
Pai Gow Poker Strategy Card
German translation of this page.
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