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Pai Gow Mania
Introduction
Pai Gow Mania is a Pai Gow Poker game including two side bets. I spotted the game at the Las Vegas Fitzgeralds Casino on May 19, 2004. In addition to the conventional pai gow poker rules two side bets are offered on the player's first three cards and all seven of the player's cards. The way the three card side bet was adjudicated was after the first three cards were dealt the players looked at them and had the opportunity to claim a win. Then the other four cards were dealt.
Following is the return table for the three card side bet. The lower right cell shows a house edge of 3.86%
Pai Gow Mania - Three Card Hand
| Hand | Combinations | Probability | Pays | Return |
|---|---|---|---|---|
| Natural straight flush | 48 | 0.002049 | 40 to 1 | 0.08196 |
| Three of a kind | 58 | 0.002476 | 30 to 1 | 0.074276 |
| Wild straight flush | 100 | 0.004269 | 5 to 1 | 0.021344 |
| Staight | 1020 | 0.043541 | 4 to 1 | 0.174165 |
| Flush | 1308 | 0.055835 | 3 to 1 | 0.167506 |
| Pair | 3912 | 0.166994 | 1 to 1 | 0.166994 |
| Nothing | 16980 | 0.724836 | Loss | -0.724836 |
| Total | 23426 | 1 | -0.03859 |
Following is the return table for the seven card side bet. The lower right cell shows a house edge of 6.37%
Pai Gow Mania - Seven Card Hand
| Hand | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Five aces | 500 | 1,128 | 0.000007 | 0.003659 |
| Royal flush | 250 | 26,132 | 0.000170 | 0.042383 |
| Straight flush | 50 | 184,832 | 0.001199 | 0.059955 |
| Four of a kind | 25 | 307,472 | 0.001995 | 0.049868 |
| Full house | 5 | 4,188,528 | 0.027173 | 0.135865 |
| Flush | 4 | 6,172,088 | 0.040041 | 0.160165 |
| Three of a kind | 3 | 7,672,500 | 0.049775 | 0.149326 |
| Straight | 2 | 11,034,204 | 0.071584 | 0.143168 |
| Other | -1 | 124,556,196 | 0.808056 | -0.808056 |
| Total | 154,143,080 | 1.000000 | -0.063667 |
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