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Take or pass? - RO & VARIANTS

Posted By: Karol Szczerek
Date: Tuesday, 20 October 2015, at 8:50 p.m.

In Response To: Take or pass? (Karol Szczerek)

Opp is spreading stuff in the oufield and will be quick to improve his prime. We have OK board, that can get better in few rolls, but after another few will collapse. That means we desperately want to get to the edge or -1 from it, and try to jump over asap.

What I ignored here is the awkwardness of the 23pt stack. It leaves us with only 1s and 2s to get to the jumping line.

Below is the rollout of the original position.





White is Player 2

score: 0
pip: 138
13 point match
pip: 151
score: 0

Blue is Player 1
XGID=--B-BbCCaB--c----bbbb-aC--:0:0:-1:00:0:0:0:13:10
Blue on roll, cube action?

Analyzed in Rollout No double Double/Take
Player Winning Chances: 76,34% (G:18,65% B:0,77%) 76,69% (G:19,02% B:0,83%)
Opponent Winning Chances: 23,66% (G:6,21% B:0,19%) 23,31% (G:6,52% B:0,19%)
Cubeless Equities +0,661 +1,358
Cubeful Equities
No double:+0,936 (-0,064)±0,011 (+0,924..+0,947)
Double/Take:+1,204 (+0,204)±0,018 (+1,185..+1,222)
Double/Pass:+1,000
Best Cube action: Double / Pass
Rollout details
1296 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100,0%
Take Decision confidence:100,0%
Duration: 21 minutes 34 seconds

eXtreme Gammon Version: 2.19.208.pre-release, MET: Kazaross XG2

Variant A





White is Player 2

score: 0
pip: 139
13 point match
pip: 151
score: 0

Blue is Player 1
XGID=--B-BbCCaB--c----bbbb-aBA-:0:0:-1:00:0:0:0:13:10
Blue on roll, cube action?

Analyzed in Rollout No double Double/Take
Player Winning Chances: 72,24% (G:18,55% B:0,84%) 72,22% (G:19,09% B:0,95%)
Opponent Winning Chances: 27,76% (G:7,87% B:0,27%) 27,78% (G:7,96% B:0,29%)
Cubeless Equities +0,560 +1,148
Cubeful Equities
No double:+0,859 (-0,113)±0,009 (+0,849..+0,868)
Double/Take:+0,971±0,013 (+0,958..+0,984)
Double/Pass:+1,000 (+0,029)
Best Cube action: Double / Take
Rollout details
2592 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100,0%
Take Decision confidence:100,0%
Duration: 42 minutes 01 second

eXtreme Gammon Version: 2.19.208.pre-release, MET: Kazaross XG2

We have 1s, 2s & 3s to come near the edge of the prime, which changes things dramatically. The decision is borderline, but the point is to show the awkwardness of the stacked back men in original position.

Variant B





White is Player 2

score: 0
pip: 140
13 point match
pip: 151
score: 0

Blue is Player 1
XGID=--B-BbCCaB--c----bbbb-aAB-:0:0:-1:00:0:0:0:13:10
Blue on roll, cube action?

Analyzed in Rollout No double Double/Take
Player Winning Chances: 72,06% (G:19,97% B:1,11%) 72,32% (G:20,56% B:1,19%)
Opponent Winning Chances: 27,94% (G:7,82% B:0,23%) 27,68% (G:7,87% B:0,23%)
Cubeless Equities +0,575 +1,192
Cubeful Equities
No double:+0,866 (-0,134)±0,007 (+0,859..+0,872)
Double/Take:+1,009 (+0,009)±0,009 (+1,000..+1,019)
Double/Pass:+1,000
Best Cube action: Double / Pass
Rollout details
5184 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100,0%
Take Decision confidence:97,4%
Duration: 1 hour 33 minutes

eXtreme Gammon Version: 2.19.208.pre-release, MET: Kazaross XG2

Created from Variant A by moving checker from 23 to 24pt. Still we have 3 numbers to come to the jumping line. The ace-point anchor looses more gammons than deuce-point one though. More enough to push the value down into the borderline pass zone.

Variant C





White is Player 2

score: 0
pip: 146
13 point match
pip: 151
score: 0

Blue is Player 1
XGID=--B-BbCCa---cB---bbbb-aC--:0:0:-1:00:0:0:0:13:10
Blue on roll, cube action?

Analyzed in Rollout No double Double/Take
Player Winning Chances: 74,55% (G:19,82% B:0,90%) 74,92% (G:20,16% B:0,99%)
Opponent Winning Chances: 25,45% (G:6,45% B:0,16%) 25,08% (G:6,90% B:0,18%)
Cubeless Equities +0,636 +1,306
Cubeful Equities
No double:+0,918 (-0,082)±0,013 (+0,905..+0,930)
Double/Take:+1,139 (+0,139)±0,018 (+1,121..+1,156)
Double/Pass:+1,000
Best Cube action: Double / Pass
Rollout details
1296 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100,0%
Take Decision confidence:100,0%
Duration: 21 minutes 54 seconds

eXtreme Gammon Version: 2.19.208.pre-release, MET: Kazaross XG2

How awkward the stack is? Moving the 9pt to 13pt, giving us more timing and outfield coverage doesn't change much. Still a big pass.

Variant D





White is Player 2

score: 0
pip: 161
13 point match
pip: 151
score: 0

Blue is Player 1
XGID=---BBbBBa---cD---bbbb-aC--:0:0:-1:00:0:0:0:13:10
Blue on roll, cube action?

Analyzed in Rollout No double Double/Take
Player Winning Chances: 71,42% (G:18,86% B:0,87%) 71,56% (G:19,00% B:1,00%)
Opponent Winning Chances: 28,58% (G:6,58% B:0,24%) 28,44% (G:6,99% B:0,29%)
Cubeless Equities +0,561 +1,141
Cubeful Equities
No double:+0,831 (-0,108)±0,009 (+0,822..+0,839)
Double/Take:+0,939±0,014 (+0,925..+0,953)
Double/Pass:+1,000 (+0,061)
Best Cube action: Double / Take
Rollout details
2592 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100,0%
Take Decision confidence:100,0%
Duration: 45 minutes 47 seconds

eXtreme Gammon Version: 2.19.208.pre-release, MET: Kazaross XG2

To make it a take, we have to do significant changes. Closing the 3pt hole in our board and moving spares back to our midpoint gives us enough time for the stack to be unloaded.

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