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Rollout + variants

Posted By: Timothy Chow
Date: Sunday, 25 December 2016, at 6:07 p.m.

In Response To: Don't you hate it when this happens? (Timothy Chow)

Stick makes the decision sound easier than it is. See the rollout and Variants 1 to 3 below.

Sebastian asked about the cube location; see Variant 4 below. If Blue owns the cube, then the reason he doesn't double before the roll is that he's TG. By playing 5/2 5/1 he gets an extremely efficient cube if White dances and minimizes his losses when White enters.





White is Player 2

score: 0
pip: 147
Unlimited Game
pip: 66
score: 0

Blue is Player 1
XGID=aBCCDBa-----c---bb-c-c-A--:1:-1:1:43:0:0:0:0:10
Blue to play 43

1.Rollout123/20 5/1eq: +0.137
Player:
Opponent:
55.05% (G:31.88% B:0.06%)
44.95% (G:6.58% B:0.21%)
Conf.: ± 0.009 (+0.128...+0.146) - [100.0%]
Duration: 10 minutes 26 seconds
2.Rollout15/2 5/1eq: +0.080 (-0.057)
Player:
Opponent:
53.08% (G:27.83% B:0.05%)
46.92% (G:2.54% B:0.05%)
Conf.: ± 0.008 (+0.071...+0.088) - [0.0%]
Duration: 10 minutes 53 seconds
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.208.pre-release


Variant 1





White is Player 2

score: 0
pip: 145
Unlimited Game
pip: 66
score: 0

Blue is Player 1
XGID=aBCCDBa-----c---b-bc-c-A--:1:-1:1:43:0:0:0:0:10
Blue to play 43

1.Rollout15/2 5/1eq: +0.205
Player:
Opponent:
56.92% (G:29.80% B:0.05%)
43.08% (G:2.22% B:0.05%)
Conf.: ± 0.008 (+0.197...+0.214) - [62.1%]
Duration: 10 minutes 15 seconds
2.Rollout123/20 5/1eq: +0.204 (-0.002)
Player:
Opponent:
57.35% (G:32.28% B:0.06%)
42.65% (G:6.30% B:0.19%)
Conf.: ± 0.009 (+0.195...+0.212) - [37.9%]
Duration: 9 minutes 44 seconds
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.208.pre-release


Variant 2





White is Player 2

score: 0
pip: 150
Unlimited Game
pip: 67
score: 0

Blue is Player 1
XGID=aBCCDBa-----c---bb-cc---A-:1:-1:1:43:0:0:0:0:10
Blue to play 43

1.Rollout15/2 5/1eq: -0.204
Player:
Opponent:
43.90% (G:23.29% B:0.04%)
56.10% (G:2.95% B:0.06%)
Conf.: ± 0.009 (-0.214...-0.195) - [64.5%]
Duration: 12 minutes 55 seconds
2.Rollout124/21 5/1eq: -0.207 (-0.003)
Player:
Opponent:
45.32% (G:24.66% B:0.04%)
54.68% (G:7.14% B:0.21%)
Conf.: ± 0.010 (-0.217...-0.197) - [35.5%]
Duration: 12 minutes 42 seconds
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.208.pre-release


Variant 3





White is Player 2

score: 0
pip: 150
Unlimited Game
pip: 66
score: 0

Blue is Player 1
XGID=aBCCDBa-----c---bb-cc--A--:1:-1:1:42:0:0:0:0:10
Blue to play 42

1.Rollout15/3 5/1eq: -0.177
Player:
Opponent:
44.53% (G:23.85% B:0.04%)
55.47% (G:2.81% B:0.05%)
Conf.: ± 0.009 (-0.187...-0.168) - [99.7%]
Duration: 12 minutes 28 seconds
2.Rollout123/21 5/1eq: -0.196 (-0.019)
Player:
Opponent:
45.24% (G:24.31% B:0.04%)
54.76% (G:7.12% B:0.19%)
Conf.: ± 0.010 (-0.206...-0.187) - [0.3%]
Duration: 11 minutes 41 seconds
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.208.pre-release


Variant 4





White is Player 2

score: 0
pip: 147
Unlimited Game
pip: 66
score: 0

Blue is Player 1
XGID=aBCCDBa-----c---bb-c-c-A--:1:1:1:43:0:0:0:0:10
Blue to play 43

1.XG Roller++5/2 5/1eq: +0.539
Player:
Opponent:
53.27% (G:27.36% B:0.05%)
46.73% (G:2.14% B:0.10%)
2.XG Roller++23/20 5/1eq: +0.450 (-0.089)
Player:
Opponent:
55.29% (G:31.29% B:0.06%)
44.71% (G:5.83% B:0.20%)

eXtreme Gammon Version: 2.19.208.pre-release

After 5/2 5/1, dance:




White is Player 2

score: 0
pip: 147
Unlimited Game
pip: 59
score: 0

Blue is Player 1
XGID=aCDCD-a-----c---bb-c-c-A--:1:1:1:00:0:0:0:0:10
Blue on roll, cube action?

Analyzed in XG Roller++ No redouble Redouble/Take
Player Winning Chances: 63.14% (G:39.48% B:0.06%) 63.28% (G:39.37% B:0.06%)
Opponent Winning Chances: 36.86% (G:1.79% B:0.04%) 36.72% (G:1.79% B:0.03%)
Cubeless Equities +0.640 +1.283
Cubeful Equities
No redouble:+0.765 (-0.217)
Redouble/Take:+0.982
Redouble/Pass:+1.000 (+0.018)
Best Cube action: Redouble / Take

eXtreme Gammon Version: 2.19.208.pre-release

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