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Best answer: 31P-44I-C

Posted By: Nack Ballard
Date: Saturday, 29 October 2011, at 3:46 a.m.

In Response To: How about this one? (Carlo Melzi)





White is Player 2

score: 0
pip: 151
Unlimited Game
Jacoby Beaver
pip: 163
score: 0

Blue is Player 1
XGID=-b---BD-B---eE---c-a---dB-:0:0:1:00:0:0:3:0:10
31P-44I-C

Analyzed in Rollout No double Double/Take
Player Winning Chances: 75.35% (G:29.41% B:1.76%) 75.22% (G:30.19% B:1.97%)
Opponent Winning Chances: 24.65% (G:5.54% B:0.28%) 24.78% (G:5.36% B:0.24%)
Cubeless Equities +0.761 +1.540
Cubeful Equities
No double:+0.978 (-0.022)±0.003 (+0.974..+0.981)
Double/Take:+1.353 (+0.353)±0.010 (+1.343..+1.363)
Double/Pass:+1.000
Best Cube action: Double / Pass
Rollout details
5184 Games rolled with Variance Reduction.
Dice Seed: 724
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100.0%
Take Decision confidence:100.0%
Duration: 1 hour 54 minutes

eXtreme Gammon Version: 2.00

The above position was the best solution I found and Carlo nailed it. Other strong possibilities are that Blue plays 61N, 21I, 63Z or 43Z, and White replies with 44I or 55I. I haven't rolled them all out, but 31P-44I-C, if taken, gives Blue the clearly highest equity according to XGR++ eval. It is considerably higher than (for example) the multiple-blot solution of 31P-33A-C (where A = 8/5(2) 5/2 6/3).

Nack

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