Pai Gow Tiles ?
June 14th, 2015 at 5:51:48 PM
permalink
How many of the hands possible are rated Gong/Gong or better (a hand that beats any 9/9)?
Some people need to reimagine their thinking.
June 14th, 2015 at 10:19:56 PM
permalink
I believe that the answer is 298. I entered H2,7,L2,7 into the calculator on the wizardofodds.com website. There were only 298 possibilities that beat that hand.
June 14th, 2015 at 10:23:57 PM
permalink
Assuming you use house way (which for these hands doesn't matter)..
| Win | Tie | Lose | |
|---|---|---|---|
| All Hands | 216 127 600 | 297 006 440 | 223 146 960 |
| beats best 9/9 | 16 676 344 | 2 436 124 | 134 032 |
| 295 | ||
| 2 Pairs | 16 * 15 / 2 | 120 |
| Pairs (not L2 H2 9 8 7) + H2 + {9 H8 L8 H7 L7} | 10 * 1 * 5 | 45 |
| sly L2 | 45 | |
| Pairs (H2) + L2 + (9 8 7) | 1 * 1 * 5 | 5 |
| Pair (H2) + (98 98 97 97 88 87 87 87 87 77) | 10 | |
| sly L2 | 15 | |
| Pair (9 8 7) + H2 + L2 | 5 * 1 * 1 | 5 |
| Pair 9 + {H2 / L2} + {H8 L8 H7 L7} | 8 | |
| Pair {H8 / L8} + {H2 / L2} + {9 8 H7 L7} | 16 | |
| Pair (H7 / L7} + {H2 / L2} + {9 H8 L8 7} | 16 | |
| H2 + L2 + (98 98 97 97 88 87 87 87 87 77) | 10 |
July 13th, 2015 at 11:16:53 PM
permalink
My appologies for the late response.
Thanks Charlie and Wolfgar. Each is enlightening.
Looking at the game-play being dealt Gong-Gong or better (G/G, G/W, G/Pr, W/W, W/Pr, Pr/Pr)
accounts for about 7.7% of all Player wins, and accounts for about 2.6% of all heads-up play.
Thanks Charlie and Wolfgar. Each is enlightening.
Looking at the game-play being dealt Gong-Gong or better (G/G, G/W, G/Pr, W/W, W/Pr, Pr/Pr)
accounts for about 7.7% of all Player wins, and accounts for about 2.6% of all heads-up play.
Some people need to reimagine their thinking.
