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Gammons Per Pip x Distance to bear in +1

Posted By: Mr Majestyk
Date: Wednesday, 7 November 2012, at 4:14 p.m.

In Response To: Hit or Go?, is there a magic formula for this? (Robert Andersson)

Blue requires 17 pips to bear in and 1 pip to bear off 18/7 or 2.57 rolls.

For white to win 19% Gammons as given by the RO, her Gammons Per Pip ratio would need to be 1.3 * 18 - 19.5% (Stick's estimate) = 18.9%.

To achieve this ratio, White would need to roll 66 55 44 33 this turn and the next for 11.1*11.1 = 1.23. A further 10th can be added for 11 22.





White is Player 1

score: 0
pip: 94
Unlimited Game
Jacoby Beaver
pip: 21
score: 0

Blue is Player 2
XGID=-BBBBBC------------b--bBc-:1:1:-1:00:0:0:3:0:10
Blue on roll, cube action?
Analyzed in XG Roller++ No redouble Redouble/Take
  Player Winning Chances: 85.59% (G:53.54% B:2.65%) 85.59% (G:53.54% B:2.65%)
  Opponent Winning Chances: 14.41% (G:0.00% B:0.00%) 14.41% (G:0.00% B:0.00%)
  Cubeless Equities +1.274 +2.547
Cubeful Equities
No redouble:+1.223
Redouble/Take:+2.446 (+1.223)
Redouble/Pass:+1.000 (-0.223)
 
Best Cube action: Too good to redouble / Pass
Percentage of wrong take needed to make the double decision right: 15.4%

eXtreme Gammon Version: 2.03

In this example, blue's GPPR would need to be 1.53 * 35 = 53.55 Gammons. This ratio would need to be between 5/36 * 4/36.

NBM

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