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Rollout and variants

Posted By: mtuhtan
Date: Wednesday, 11 May 2011, at 2:59 p.m.

In Response To: Nackgammon cube (mtuhtan)

This may come as a surprise (at least to some folks), but this is huge pass. Btw, those of you who said ND/T - you were 100% sure this is a take? (per Woolsey's rule)





White is Player 2

score: 0
pip: 186
Unlimited Game
Beaver
pip: 182
score: 0

Blue is Player 1
XGID=-ab-bBDBB---a---abbbbA-AAB:0:0:-1:00:0:0:2:0:10
White on roll, cube action?

Analyzed in Rollout No double Double/Take
Player Winning Chances: 70,73% (G:29,77% B:2,39%) 71,15% (G:31,03% B:2,61%)
Opponent Winning Chances: 29,27% (G:8,49% B:0,48%) 28,85% (G:8,03% B:0,43%)
Cubeless Equities +0,647 +1,350
Cubeful Equities
No double:+0,946 (-0,054)±0,012 (+0,934..+0,959)
Double/Take:+1,127 (+0,127)±0,020 (+1,107..+1,147)
Double/Pass:+1,000
Best Cube action: Double / Pass
Rollout details
2592 Games rolled with Variance Reduction.
Dice Seed: 31270030
Moves and cube decisions: 3-ply
Double Decision confidence:100,0%
Take Decision confidence:100,0%
Duration: 35 minutes 35 seconds

eXtreme Gammon Version: 2.00.163.beta


Variant 1

Blue's checker moved from 2pt to 3pt. Still pass, but closer one.





White is Player 2

score: 0
pip: 186
Unlimited Game
Beaver
pip: 181
score: 0

Blue is Player 1
XGID=-ab-bBDBB---a---abbbbAA-AB:0:0:-1:00:0:0:2:0:10
White on roll, cube action?
Analyzed in Rollout No double Double/Take
Player Winning Chances: 70,03% (G:28,59% B:2,16%) 70,39% (G:30,08% B:2,45%)
Opponent Winning Chances: 29,97% (G:8,78% B:0,48%) 29,61% (G:8,43% B:0,46%)
Cubeless Equities +0,616 +1,289
Cubeful Equities
No double:+0,906 (-0,094)±0,011 (+0,894..+0,917)
Double/Take:+1,053 (+0,053)±0,016 (+1,037..+1,068)
Double/Pass:+1,000
Best Cube action: Double / Pass
Rollout details
5184 Games rolled with Variance Reduction.
Dice Seed: 92689559
Moves and cube decisions: 3-ply
Double Decision confidence:100,0%
Take Decision confidence:100,0%
Duration: 1 hour 21 minutes

eXtreme Gammon Version: 2.00.163.beta


Variant 2

White doesn't have 21pt anchor anymore. (Blue's position as in Variant 1)
Doesn't make much difference.





White is Player 2

score: 0
pip: 186
Unlimited Game
Beaver
pip: 181
score: 0

Blue is Player 1
XGID=-aabaBDBB---a---abbbbAA-AB:0:0:-1:00:0:0:2:0:10
White on roll, cube action?
Analyzed in Rollout No double Double/Take
Player Winning Chances: 70,23% (G:28,59% B:2,15%) 70,42% (G:30,05% B:2,48%)
Opponent Winning Chances: 29,77% (G:8,72% B:0,49%) 29,58% (G:8,47% B:0,49%)
Cubeless Equities +0,620 +1,288
Cubeful Equities
No double:+0,900 (-0,100)±0,010 (+0,890..+0,910)
Double/Take:+1,057 (+0,057)±0,015 (+1,042..+1,073)
Double/Pass:+1,000
Best Cube action: Double / Pass
Rollout details
5184 Games rolled with Variance Reduction.
Dice Seed: 31270030
Moves and cube decisions: 3-ply
Double Decision confidence:100,0%
Take Decision confidence:100,0%
Duration: 1 hour 21 minutes

eXtreme Gammon Version: 2.00.163.beta


Variant 3

White's blot from 9pt moved to 10pt, everything else as in original position. Huge swing and now it is a close take.





White is Player 2

score: 0
pip: 187
Unlimited Game
Beaver
pip: 182
score: 0

Blue is Player 1
XGID=-ab-bBDBB---a--a-bbbbA-AAB:0:0:-1:00:0:0:2:0:10
White on roll, cube action?
Analyzed in Rollout No double Double/Take
Player Winning Chances: 68,95% (G:29,30% B:2,49%) 69,09% (G:30,41% B:2,74%)
Opponent Winning Chances: 31,05% (G:9,38% B:0,59%) 30,91% (G:9,09% B:0,56%)
Cubeless Equities +0,597 +1,233
Cubeful Equities
No double:+0,870 (-0,116)±0,008 (+0,862..+0,878)
Double/Take:+0,986±0,011 (+0,975..+0,997)
Double/Pass:+1,000 (+0,014)
Best Cube action: Double / Take
Rollout details
10368 Games rolled with Variance Reduction.
Dice Seed: 16049113
Moves and cube decisions: 3-ply
Double Decision confidence:100,0%
Take Decision confidence:99,2%
Duration: 2 hours 27 minutes

eXtreme Gammon Version: 2.00.163.beta


Variant 4

White's 9pt blot moved to 6pt. Very easy take.





White is Player 2

score: 0
pip: 183
Unlimited Game
Beaver
pip: 182
score: 0

Blue is Player 1
XGID=-ab-bBDBB---a----bbcbA-AAB:0:0:-1:00:0:0:2:0:10
White on roll, cube action?
Analyzed in Rollout No double Double/Take
Player Winning Chances: 66,46% (G:29,46% B:2,81%) 66,55% (G:30,34% B:3,12%)
Opponent Winning Chances: 33,54% (G:10,28% B:0,65%) 33,45% (G:10,05% B:0,62%)
Cubeless Equities +0,543 +1,118
Cubeful Equities
No double:+0,790 (-0,065)±0,011 (+0,779..+0,801)
Double/Take:+0,855±0,015 (+0,840..+0,870)
Double/Pass:+1,000 (+0,145)
Best Cube action: Double / Take
Rollout details
5288 Games rolled with Variance Reduction.
Dice Seed: 16049113
Moves and cube decisions: 3-ply
Double Decision confidence:100,0%
Take Decision confidence:100,0%
Duration: 1 hour 12 minutes

eXtreme Gammon Version: 2.00.163.beta


Variant 5

White's 9pt blot is now on the midpoint. Easy take.





White is Player 2

score: 0
pip: 190
Unlimited Game
Beaver
pip: 182
score: 0

Blue is Player 1
XGID=-ab-bBDBB---b----bbbbA-AAB:0:0:-1:00:0:0:2:0:10
White on roll, cube action?
Analyzed in Rollout No double Double/Take
Player Winning Chances: 68,48% (G:27,26% B:2,09%) 68,93% (G:28,37% B:2,14%)
Opponent Winning Chances: 31,52% (G:9,60% B:0,58%) 31,07% (G:9,34% B:0,53%)
Cubeless Equities +0,561 +1,170
Cubeful Equities
No double:+0,864 (-0,061)±0,012 (+0,852..+0,876)
Double/Take:+0,925±0,016 (+0,910..+0,941)
Double/Pass:+1,000 (+0,075)
Best Cube action: Double / Take
Rollout details
5288 Games rolled with Variance Reduction.
Dice Seed: 16049113
Moves and cube decisions: 3-ply
Double Decision confidence:100,0%
Take Decision confidence:100,0%
Duration: 1 hour 27 minutes

eXtreme Gammon Version: 2.00.163.beta


Variant 6

White's checker is on midpoint (as in Variant 5), blue has checker on 3pt instead of 2pt. Close ND/D decision, but you'll probably receive some passes here so I would double this.





White is Player 2

score: 0
pip: 190
Unlimited Game
Beaver
pip: 181
score: 0

Blue is Player 1
XGID=-ab-bBDBB---b----bbbbAA-AB:0:0:-1:00:0:0:2:0:10
White on roll, cube action?
Analyzed in Rollout No double Double/Take
Player Winning Chances: 67,36% (G:26,46% B:1,92%) 67,61% (G:27,28% B:2,12%)
Opponent Winning Chances: 32,64% (G:9,97% B:0,61%) 32,39% (G:9,86% B:0,57%)
Cubeless Equities +0,525 +1,084
Cubeful Equities
No double:+0,803 (-0,029)±0,012 (+0,791..+0,815)
Double/Take:+0,832±0,015 (+0,817..+0,847)
Double/Pass:+1,000 (+0,168)
Best Cube action: Double / Take
Rollout details
5254 Games rolled with Variance Reduction.
Dice Seed: 16049113
Moves and cube decisions: 3-ply
Double Decision confidence:99,9%
Take Decision confidence:100,0%
Duration: 1 hour 28 minutes

eXtreme Gammon Version: 2.00.163.beta


Conclusion?

We must pay more attention to the details :)

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