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54 to play: Rollouts (Cube based play reversal)

Posted By: Jeremy Bagai
Date: Monday, 3 October 2011, at 9:10 a.m.

In Response To: 54 to play (Jeremy Bagai)

As Stick so graciously suggested, it is a double by .1 before the roll (given the score).

But I'm surprised by the differing best plays when the cube is centered and when it is turned.

First, centered (the original position):





White is Player 2

score: 4
pip: 141
7 point match
pip: 122
score: 3

Blue is Player 1
XGID=-BaA--CCB---cBb--cBdaa----:0:0:1:54:3:4:0:7:10
Blue to play 54

1.Rollout113/8 7/3eq: +0.833
Player:
Opponent:
59.92% (G:21.96% B:0.25%)
40.08% (G:9.02% B:0.42%)
Conf.: ± 0.051 (+0.783...+0.884) - [100.0%]
Duration: 1 minute 44 seconds
2.Rollout17/3 7/2* eq: +0.688 (-0.145)
Player:
Opponent:
60.03% (G:24.05% B:0.35%)
39.97% (G:9.41% B:1.65%)
Conf.: ± 0.032 (+0.656...+0.720) - [0.0%]
Duration: 1 minute 45 seconds
3.Rollout17/2* 6/2eq: +0.552 (-0.282)
Player:
Opponent:
57.41% (G:22.08% B:0.32%)
42.59% (G:10.53% B:0.68%)
Conf.: ± 0.037 (+0.515...+0.588) - [0.0%]
Duration: 1 minute 41 seconds
4.2-ply18/13 7/3eq: +0.643 (-0.191)
Player:
Opponent:
57.46% (G:21.27% B:0.38%)
42.54% (G:9.85% B:0.32%)
5.1-ply8/3 6/2* eq: +0.488 (-0.346)
Player:
Opponent:
56.47% (G:20.15% B:0.29%)
43.53% (G:8.30% B:0.42%)
1 108 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.01, MET: Kazaross XG2

XG preserves structure with 13/8 7/3.

But if I had cubed:





White is Player 2

score: 4
pip: 141
7 point match
pip: 122
score: 3

Blue is Player 1
XGID=-BaA--CCB---cBb--cBdaa----:1:-1:1:54:3:4:0:7:10
Blue to play 54

1.Rollout17/3 7/2* eq: +0.514
Player:
Opponent:
59.95% (G:24.85% B:0.27%)
40.05% (G:8.86% B:2.18%)
Conf.: ± 0.022 (+0.492...+0.536) - [99.9%]
Duration: 2 minutes 45 seconds
2.Rollout113/8 7/3eq: +0.463 (-0.050)
Player:
Opponent:
59.88% (G:22.27% B:0.14%)
40.12% (G:9.19% B:0.31%)
Conf.: ± 0.024 (+0.440...+0.487) - [0.1%]
Duration: 2 minutes 24 seconds
3.Rollout17/2* 6/2eq: +0.379 (-0.135)
Player:
Opponent:
57.58% (G:21.22% B:0.46%)
42.42% (G:9.68% B:0.56%)
Conf.: ± 0.023 (+0.356...+0.402) - [0.0%]
Duration: 2 minutes 44 seconds
4.3-ply8/3 6/2* eq: +0.331 (-0.183)
Player:
Opponent:
57.15% (G:20.29% B:0.23%)
42.85% (G:8.58% B:0.38%)
5.3-ply18/13 7/3eq: +0.330 (-0.184)
Player:
Opponent:
57.85% (G:19.64% B:0.32%)
42.15% (G:9.92% B:0.35%)
1 108 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.01, MET: Kazaross XG2

Now, attack with 7/3 7/2. Why the change? Both plays leave a direct shot, so I don't understand why the first play leads to more efficient cubes.

Also, why is 7/3 7/2, leaving an extra blot on the bar, so much better than 7/2 6/2 (regardless of cube position)?

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