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Backgammon Boot Camp #4-3 (End-Contact Positions) -- Rollout and variants

Posted By: Igor
Date: Sunday, 22 March 2015, at 2:29 p.m.

In Response To: Backgammon Boot Camp #4-3 (End-Contact Positions) (Igor)

White is just a hair short of a take according to XG. This should be an excellent reference position.





White is Player 2

score: 0
pip: 81
Unlimited Game
Jacoby Beaver
pip: 66
score: 0

Blue is Player 1
XGID=-BBBBCCb-----A-----bbbcbb-:0:0:1:00:0:0:3:0:10
Blue on roll, cube action?

Analyzed in Rollout No double Double/Take
Player Winning Chances: 77.18% (G:0.11% B:0.00%) 77.14% (G:0.07% B:0.00%)
Opponent Winning Chances: 22.82% (G:0.41% B:0.01%) 22.86% (G:0.38% B:0.01%)
Cubeless Equities +0.541 +1.079
Cubeful Equities
No double:+0.668 (-0.332)±0.002 (+0.667..+0.670)
Double/Take:+1.023 (+0.023)±0.005 (+1.018..+1.028)
Double/Pass:+1.000
Best Cube action: Double / Pass
Rollout details
1296 Games rolled with Variance Reduction.
Dice Seed: 96460002
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100.0%
Take Decision confidence:100.0%
Duration: 3.8 seconds

eXtreme Gammon Version: 2.10

Moving white spare one pip forward creates an exact borderline decision.





White is Player 2

score: 0
pip: 80
Unlimited Game
Jacoby Beaver
pip: 66
score: 0

Blue is Player 1
XGID=-BBBBCCb-----A-----bbbbcb-:0:0:1:00:0:0:3:0:10
Blue on roll, cube action?

Analyzed in Rollout No double Double/Take
Player Winning Chances: 76.84% (G:0.06% B:0.00%) 76.83% (G:0.06% B:0.00%)
Opponent Winning Chances: 23.16% (G:0.40% B:0.01%) 23.17% (G:0.39% B:0.01%)
Cubeless Equities +0.533 +1.066
Cubeful Equities
No double:+0.663 (-0.336)±0.001 (+0.663..+0.664)
Double/Take:+1.000±0.002 (+0.998..+1.001)
Double/Pass:+1.000 (+0.000)
Best Cube action: Double / Take
Rollout details
10368 Games rolled with Variance Reduction.
Dice Seed: 96460002
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100.0%
Take Decision confidence:68.9%
Duration: 19.6 seconds

eXtreme Gammon Version: 2.10

More variants which can all be figured out based on the above pair of positions.





White is Player 2

score: 0
pip: 79
Unlimited Game
Jacoby Beaver
pip: 66
score: 0

Blue is Player 1
XGID=-BBBBCCb-----A-----bbbbbc-:0:0:1:00:0:0:3:0:10
Blue on roll, cube action?

Analyzed in Rollout No double Double/Take
Player Winning Chances: 76.81% (G:0.04% B:0.00%) 76.73% (G:0.05% B:0.00%)
Opponent Winning Chances: 23.19% (G:0.37% B:0.01%) 23.27% (G:0.37% B:0.01%)
Cubeless Equities +0.533 +1.063
Cubeful Equities
No double:+0.664 (-0.324)±0.002 (+0.661..+0.666)
Double/Take:+0.987±0.005 (+0.983..+0.992)
Double/Pass:+1.000 (+0.013)
Best Cube action: Double / Take
Rollout details
1296 Games rolled with Variance Reduction.
Dice Seed: 96460002
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100.0%
Take Decision confidence:100.0%
Duration: 3.1 seconds

eXtreme Gammon Version: 2.10





White is Player 2

score: 0
pip: 82
Unlimited Game
Jacoby Beaver
pip: 66
score: 0

Blue is Player 1
XGID=-BBBBCCb-----A-----bbcbbb-:0:0:1:00:0:0:3:0:10
Blue on roll, cube action?

Analyzed in Rollout No double Double/Take
Player Winning Chances: 77.40% (G:0.10% B:0.00%) 77.39% (G:0.08% B:0.00%)
Opponent Winning Chances: 22.60% (G:0.43% B:0.01%) 22.61% (G:0.42% B:0.01%)
Cubeless Equities +0.545 +1.089
Cubeful Equities
No double:+0.667 (-0.333)±0.002 (+0.665..+0.670)
Double/Take:+1.033 (+0.033)±0.004 (+1.029..+1.037)
Double/Pass:+1.000
Best Cube action: Double / Pass
Rollout details
1296 Games rolled with Variance Reduction.
Dice Seed: 96460002
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100.0%
Take Decision confidence:100.0%
Duration: 3.3 seconds

eXtreme Gammon Version: 2.10





White is Player 2

score: 0
pip: 83
Unlimited Game
Jacoby Beaver
pip: 66
score: 0

Blue is Player 1
XGID=-BBBBCCb-----A-----bcbbbb-:0:0:1:00:0:0:3:0:10
Blue on roll, cube action?

Analyzed in Rollout No double Double/Take
Player Winning Chances: 77.89% (G:0.12% B:0.00%) 77.93% (G:0.08% B:0.00%)
Opponent Winning Chances: 22.11% (G:0.44% B:0.01%) 22.07% (G:0.44% B:0.00%)
Cubeless Equities +0.555 +1.110
Cubeful Equities
No double:+0.674 (-0.326)±0.001 (+0.672..+0.675)
Double/Take:+1.052 (+0.052)±0.003 (+1.049..+1.056)
Double/Pass:+1.000
Best Cube action: Double / Pass
Rollout details
1296 Games rolled with Variance Reduction.
Dice Seed: 96460002
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100.0%
Take Decision confidence:100.0%
Duration: 3.2 seconds

eXtreme Gammon Version: 2.10





White is Player 2

score: 0
pip: 84
Unlimited Game
Jacoby Beaver
pip: 66
score: 0

Blue is Player 1
XGID=-BBBBCCb-----A-----cbbbbb-:0:0:1:00:0:0:3:0:10
Blue on roll, cube action?

Analyzed in Rollout No double Double/Take
Player Winning Chances: 78.63% (G:0.09% B:0.00%) 78.65% (G:0.04% B:0.00%)
Opponent Winning Chances: 21.37% (G:0.45% B:0.01%) 21.35% (G:0.43% B:0.00%)
Cubeless Equities +0.569 +1.138
Cubeful Equities
No double:+0.681 (-0.319)±0.002 (+0.679..+0.683)
Double/Take:+1.090 (+0.090)±0.004 (+1.086..+1.093)
Double/Pass:+1.000
Best Cube action: Double / Pass
Rollout details
1296 Games rolled with Variance Reduction.
Dice Seed: 21781427
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100.0%
Take Decision confidence:100.0%
Duration: 4.2 seconds

eXtreme Gammon Version: 2.10

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