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Fortune Pai Gow Side Bet
Fortune pai gow side bets pay a bonus based only on the player’s hand. 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 | Return | Envy Bonus |
| Natural 7 card straight flush | 32 | 0 | 8000 to 1 | 0.001661 | $5000 |
| Royal flush plus royal match | 72 | 0 | 2000 to 1 | 0.000934 | $1000 |
| Wild 7 card straight flush | 196 | 0.000001 | 1000 to 1 | 0.001272 | $500 |
| Five aces | 1128 | 0.000007 | 400 to 1 | 0.002927 | $250 |
| Royal flush | 26020 | 0.000169 | 150 to 1 | 0.025321 | $50 |
| Straight flush | 184644 | 0.001198 | 50 to 1 | 0.059894 | $20 |
| Four of a kind | 307472 | 0.001995 | 25 to 1 | 0.049868 | $5 |
| Full house | 4188528 | 0.027173 | 5 to 1 | 0.135865 | $0 |
| Flush | 6172088 | 0.040041 | 4 to 1 | 0.160165 | $0 |
| Three of a kind | 7672500 | 0.049775 | 3 to 1 | 0.149326 | $0 |
| Straight | 12006024 | 0.077889 | 2 to 1 | 0.155778 | $0 |
| Other | 123584376 | 0.801751 | loss | -0.801751 | $0 |
| Total | 154143080 | 1 | -0.058742 | $ | |
number of other players at the table. 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 |
| 0 | 5.87% |
| 1 | 4.95% |
| 2 | 4.02% |
| 3 | 3.09% |
| 4 | 2.17% |
| 5 | 1.24% |
Better known as “The Wizard of Odds”, Michael Shackleford uses math and computer analysis to determine optimal playing strategy for all casino games. His work can be found on his website, WizardofOdds.com with player strategies and probabilities on most of the casino games. Michael lives in Las Vegas and in his spare time likes to college license plates and gamble.
You can read more about Michael’s work at his website, WizardofOdds.com
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