We should start by observing just how bad X's position is. Though the
pip count is even, X can't race because he has two checkers pinned
behind O's five-prime. He's in serious danger of crashing.
Intentionally leaving blots in order to get them sent back for a
backgame isn't going to work either because X has no timing. Until
this roll, X might have hoped to counter-prime O's straggler, but now
he's forced to give up another point. It seems that there's not much
of a game plan other than to hope to roll small and not crash and hope
to roll something that will escape the back checkers without getting
attacked.
There is, however, another possibility. X can attack O and hope to
escape his back checkers while O is busy dancing. It's a slim
possibility but worth trying when getting gammoned doesn't matter. If
instead X plays passively and doesn't hit, then O will have the chance
to roll her prime forwards and squeeze X even more.
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Rollout
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1. Rollout: 8/2 6/3* eq:-0.757
Player : 12.16% (G:1.30% B:0.02%)
Opponent: 87.84% (G:36.61% B:9.25%)
Confidence: ±0.005 (-0.762<E<-0.752)
2. Rollout: 7/1 6/3* eq:-0.792 (-0.035)
Player : 10.41% (G:1.03% B:0.01%)
Opponent: 89.59% (G:33.95% B:7.15%)
Confidence: ±0.005 (-0.797<E<-0.787)
3. Rollout: 8/5 8/2 eq:-0.795 (-0.039)
Player : 10.23% (G:0.88% B:0.01%)
Opponent: 89.77% (G:20.86% B:1.93%)
Confidence: ±0.004 (-0.799<E<-0.791)
4. Rollout: 8/2 5/2 eq:-0.798 (-0.042)
Player : 10.09% (G:0.77% B:0.00%)
Opponent: 89.91% (G:28.45% B:2.79%)
Confidence: ±0.004 (-0.802<E<-0.794)
1108 Games rolled with Variance Reduction.
Dice Seed: 2
First 4 moves and cube decisions: 4 ply
Remaining moves and cube decisions: 3 ply
eXtreme Gammon Version: 1.21, MET: Rockwell-Kazaross
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Tim Chow