98Clubs
98Clubs
Joined: Jun 3, 2010
  • Threads: 52
  • Posts: 1728
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.
Wulfgar1224
Wulfgar1224
Joined: May 19, 2014
  • Threads: 8
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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.
charliepatrick
charliepatrick
Joined: Jun 17, 2011
  • Threads: 36
  • Posts: 2597
June 14th, 2015 at 10:23:57 PM permalink
Assuming you use house way (which for these hands doesn't matter)..
WinTieLose
All Hands216 127 600297 006 440223 146 960
beats best 9/9
16 676 344
2 436 124
134 032

295
2 Pairs16 * 15 / 2120
Pairs (not L2 H2 9 8 7) + H2 + {9 H8 L8 H7 L7}10 * 1 * 545
sly L245
Pairs (H2) + L2 + (9 8 7)1 * 1 * 55
Pair (H2) + (98 98 97 97 88 87 87 87 87 77)10
sly L215
Pair (9 8 7) + H2 + L25 * 1 * 15
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
98Clubs
98Clubs
Joined: Jun 3, 2010
  • Threads: 52
  • Posts: 1728
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.
Some people need to reimagine their thinking.

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