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PaiGow Poker
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Appendix 3

Fortune Pai Gow Poker Side Bet

Many pai gow poker games offer a side bet that pays a bonus based only on the player's hand. These games are often called Fortune Pai Gow. For purposes of the bonus it does not matter how the player arranges his cards and whether or not he beats the dealer. A relatively unique feature of this bet is that if any player gets at least a four of a kind then all other players who placed the side bet get an envy bonus (because they envy the person who got the good hand). The side bet must be at least $5 to qualify for the envy bonus. The return on the side bet is maximized at $5 because the envy bonus is fixed. The winning hand is paid relative to the size of the wager, however. The following table displays the winning hands, the number of combinations, the probability, what it pays to the winner, and the envy bonus. Note that a straight is more probable than a three of a kind and thus pays less. A hand that can be arranged to form both a three of a kind and a straight is scored as a three of kind.

Fortune Pai Gow Poker Bonus
Hand Combinations Probability Pays Envy
Bonus
Natural 7-card straight flush320.000000218000 to 1$5000
Royal flush plus royal match*720.000000472000 to 1$1000
Wild 7-card straight flush1960.000001271000 to 1$500
Five aces11280.00000732400 to 1$250
Royal flush260200.0001688150 to 1$50
Straight flush1846440.0011978750 to 1$20
Four of a kind3074720.0019947225 to 1$5
Full house41885280.027172995 to 1$0
Flush61720880.040041294 to 1$0
Three of a kind75212760.048794123 to 1$0
Straight111854280.072565232 to 1$0

Note: A "royal match" is a suited king and queen.

The following table displays the house edge according to the number of other players at the table making the side bet. The greater the number of other players the greater the probability of an envy bonus and the lesser the house edge. A player making the Fortune side bet is eligible for the envy bonus based on the hand of any player, including players not making the Fortune side bet themselves. The envy bonus is not payble based on the dealer's hand. This table is based on the optimal $5 Fortune bet size.

Fortune Bonus House Edge
Other
Players
House
Edge
07.86%
16.94%
26.01%
35.08%
44.16%
53.23%


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