Discussion:
Some kind of late-game cube action
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Timothy Chow
2024-03-13 23:47:22 UTC
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XGID=-AbEB-Fb----A------bbbbc--:0:0:1:00:0:0:0:0:10

Score is X:0 O:0. Unlimited Game
+13-14-15-16-17-18------19-20-21-22-23-24-+
| | | O O O O O |
| | | O O O O O |
| | | O |
| | | |
| | | |
| |BAR| |
| | | 6 X |
| | | X X |
| | | X X |
| O | | X X X O |
| X O | | X X X O X |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 72 O: 124 X-O: 0-0
Cube: 1
X on roll, cube action

---
Tim Chow
Timothy Chow
2024-03-22 02:44:47 UTC
Permalink
XGID=-AbEB-Fb----A------bbbbc--:0:0:1:00:0:0:0:0:10

Score is X:0 O:0. Unlimited Game
+13-14-15-16-17-18------19-20-21-22-23-24-+
| | | O O O O O |
| | | O O O O O |
| | | O |
| | | |
| | | |
| |BAR| |
| | | 6 X |
| | | X X |
| | | X X |
| O | | X X X O |
| X O | | X X X O X |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 72 O: 124 X-O: 0-0
Cube: 1
X on roll, cube action

I was at sea in this position, and passed, figuring that my winning
chances were probably around 25%, and that I would lose a fair number
of gammons as well. But XG says that I win about 30% of the time.
X's inflexible board is helpful to O; see the variant below.

Analyzed in Rollout
No double
Player Winning Chances: 69.58% (G:13.86% B:0.36%)
Opponent Winning Chances: 30.42% (G:1.41% B:0.04%)
Double/Take
Player Winning Chances: 69.01% (G:13.89% B:0.30%)
Opponent Winning Chances: 30.99% (G:1.39% B:0.03%)

Cubeful Equities:
No double: +0.639 (-0.140)
Double/Take: +0.779
Double/Pass: +1.000 (+0.221)

Best Cube action: Double / Take

Rollout:
1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller
Confidence No Double: ± 0.003 (+0.636..+0.642)
Confidence Double: ± 0.011 (+0.768..+0.790)

eXtreme Gammon Version: 2.19.211.pre-release

-------
Variant
-------

XGID=-AbEC-Eb----A------bbbbc--:0:0:1:00:0:0:0:0:10

Score is X:0 O:0. Unlimited Game
+13-14-15-16-17-18------19-20-21-22-23-24-+
| | | O O O O O |
| | | O O O O O |
| | | O |
| | | |
| | | |
| |BAR| |
| | | X X |
| | | X X |
| | | X X X |
| O | | X X X O |
| X O | | X X X O X |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 70 O: 124 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in Rollout
No double
Player Winning Chances: 73.92% (G:15.98% B:0.44%)
Opponent Winning Chances: 26.08% (G:1.61% B:0.04%)
Double/Take
Player Winning Chances: 73.51% (G:16.18% B:0.49%)
Opponent Winning Chances: 26.49% (G:1.59% B:0.04%)

Cubeful Equities:
No double: +0.674 (-0.326)
Double/Take: +1.030 (+0.030)
Double/Pass: +1.000

Best Cube action: Double / Pass

Rollout:
1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller
Confidence No Double: ± 0.004 (+0.669..+0.678)
Confidence Double: ± 0.010 (+1.020..+1.040)

eXtreme Gammon Version: 2.19.211.pre-release


---
Tim Chow

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