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Bonanza Pai Gow Side Bet
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Introduction
Bonanza Pai Gow is a side bet for pai gow. I have had reports of it at the Crown casino in Melbourne, Australia, and the Commerce Casino in Los Angeles. The bet pays based on the highest win. For purposes of the side bet, it does not matter how the player sets his hand. The following tables show the winning hands, what each pays, the probability, and contribution to the return.
The following pay table is reported to be in use at the Crown in Melbourne. The lower right cells shows a return of -9.61%, or a house edge of 9.61%.
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Bonanza Pai Gow — Melbourne Pay Table
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Gee-Jun and Teen pair | 200 | 1 | 0.000028 | 0.005562 |
| Gee-Jun and Day pair | 60 | 1 | 0.000028 | 0.001669 |
| Heaven pair and Earth pair | 30 | 1 | 0.000028 | 0.000834 |
| Lame Duck | 20 | 64 | 0.001780 | 0.035595 |
| Two Pair | 12 | 117 | 0.003254 | 0.039043 |
| Gee-Jun, Teen or Day pair | 5 | 1260 | 0.035039 | 0.175195 |
| One Pair | 2 | 5460 | 0.151835 | 0.303671 |
| Wong | 1 | 2704 | 0.075195 | 0.075195 |
| Loser | -1 | 26352 | 0.732814 | -0.732814 |
| Total | 35960 | 1.000000 | -0.096051 |
The following pay table is reported to be in use at the Commerce Casino. The lower right cells shows a return of -6.07%, or a house edge of 6.07%.
Bonanza Pai Gow — Commerce Casino Pay Table
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Gee-Jun and Teen pair | 200 | 1 | 0.000028 | 0.005562 |
| Gee-Jun and Day pair | 100 | 1 | 0.000028 | 0.002781 |
| Heaven pair and Earth pair | 50 | 1 | 0.000028 | 0.001390 |
| Lame Duck | 20 | 64 | 0.001780 | 0.035595 |
| Two Pair | 10 | 117 | 0.003254 | 0.032536 |
| Gee-Jun, Teen or Day pair | 4 | 1260 | 0.035039 | 0.140156 |
| One Pair | 2 | 5460 | 0.151835 | 0.303671 |
| Wong | 2 | 2704 | 0.075195 | 0.150389 |
| Loser | -1 | 26352 | 0.732814 | -0.732814 |
| Total | 35960 | 1.000000 | -0.060734 |
A lame duck is a 2-1 hand, which can only be composed with a high-6, low-6, any 7, and any 4.
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