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Bearoff cube decision -RO

Posted By: Daniel Murphy
Date: Saturday, 5 November 2011, at 5:51 p.m.

In Response To: Bearoff cube decision (Daniel Murphy)

Unlimited match. Blue on roll.

White61

1X1X3X4X3X3X ' ' ' ' ' '

 '1O ' '6O4O ' ' ' ' ' '
Blue56
Position ID: de8OAADi9wAAAA Match ID: UQkAACAACAAE

Cube decision
Rollout cubeless equity +0.5138
Cubeful equities:
1.Double, take +0.8827
2.Double, pass +1.0000 +0.1173
3.No double +0.8101 -0.0726
Proper cube action:Redouble, take
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Player Blue owns 2-cube0.75690.00000.0000-0.24310.00000.0000 +0.5138 +0.8101
Standard error0.00000.00000.0000-0.00000.00000.0000 0.0001 0.0008
Player White owns 4-cube0.75640.00000.0000-0.24360.00000.0000 +1.0255 +0.8827
Standard error0.00000.00000.0000-0.00000.00000.0000 0.0002 0.0010
Full cubeful rollout with var.redn.
1837 games, Mersenne Twister dice gen. with seed 932765888 and quasi-random dice
Play: world class 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 8 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

Cubeless GWC in the rollout after D/T is 75.64% and that's accurate (verified with a rollout at DMP). Equity in the rollout after D/T is 0.8827, which is the equivalent of winning 72.06% in a gammonless position (as this is). So one could say that for the taker in this position, holding the cube is worth the equivalent of 3.58% GWC.

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