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Rollout: Two-part problem

Posted By: Timothy Chow
Date: Sunday, 30 September 2012, at 6:31 p.m.

In Response To: Two-part problem (Timothy Chow)

If White is the stronger player then perhaps the double, and the gammonish 10/4 8/4, are correct? How much stronger does White need to be?





White is Player 2

score: 4
pip: 107
7 point match
pip: 110
score: 0

Blue is Player 1
XGID=aB-B--DBA-A--Bb--c-cAbbb--:0:0:1:00:0:4:0:7:10
Blue on roll, cube action?


Analyzed in Rollout
No Double
Player Winning Chances: 55.43% (G: 9.65% B: 0.21%)
Opponent Winning Chances: 44.57% (G: 13.47% B: 0.79%)
Double/Take
Player Winning Chances: 55.45% (G: 9.95% B: 0.19%)
Opponent Winning Chances: 44.55% (G: 13.14% B: 1.08%)
Cubeless Equities
No Double:+0.060
Double:+0.254
Cubeful Equities
No Double:+0.334
Double/Take:+0.210 (-0.124)
Double/Drop:+1.000 (+0.666)
Best Cube action: No Double / Take
Rollout details
1296 Games rolled with Variance Reduction.
Dice Seed: 2
Moves and cube decisions: 3 ply
Confidence No Double: ± 0.014 (+0.320...+0.348)
Confidence Double: ± 0.019 (+0.191...+0.229)
Double Decision confidence: 100.0%
Take Decision confidence: 100.0%
Duration: 3 hours 00 minute

eXtreme Gammon Version: 1.21, MET: Rockwell-Kazaross






White is Player 2

score: 4
pip: 107
7 point match
pip: 110
score: 0

Blue is Player 1
XGID=aB-B--DBA-A--Bb--c-cAbbb--:1:-1:1:64:0:4:0:7:10
Blue to play 64

1.Rollout120/10eq: +0.255
Player:
Opponent:
62.55% (G:5.38% B:0.06%)
37.45% (G:5.39% B:0.16%)
Conf: ± 0.008 (+0.247...+0.263)
Duration: 1 hour 28 minutes
2.Rollout110/4 8/4eq: +0.205 (-0.049)
Player:
Opponent:
57.44% (G:11.86% B:0.22%)
42.56% (G:7.91% B:0.53%)
Conf: ± 0.009 (+0.196...+0.214)
Duration: 1 hour 13 minutes
3.Rollout18/2 6/2eq: +0.111 (-0.144)
Player:
Opponent:
54.27% (G:13.43% B:0.22%)
45.73% (G:15.49% B:1.44%)
Conf: ± 0.010 (+0.101...+0.121)
Duration: 1 hour 13 minutes
1 1296 Games rolled with Variance Reduction.
Dice Seed: 2
Moves and cube decisions: 3 ply

eXtreme Gammon Version: 1.21, MET: Rockwell-Kazaross

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