To be honest I still don't quite understand all the subtleties of this one.
Before you try to "explain" it, check out the variant position, where X's
spare on his 2pt has been shifted back to his 3pt. One thing this does is
to unduplicate X's aces to enter and cover if he is hit. It also means his
board is slightly less likely to be forced to crack with a bad roll.
These subtleties aside, in both the original position and the variant,
coming out does win more games. So it's a matter of estimating gammons,
which as michael said is no easy task.
1. Rollout¹ 21/17 2/1 eq:-0.740
Player: 22.80% (G:1.97% B:0.04%)
Opponent: 77.20% (G:24.97% B:0.54%)
Confidence: ±0.003 (-0.743..-0.736) - [100.0%]
2. Rollout¹ 6/1 eq:-0.803 (-0.063)
Player: 16.11% (G:1.38% B:0.03%)
Opponent: 83.89% (G:20.09% B:0.20%)
Confidence: ±0.005 (-0.808..-0.798) - [0.0%]
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
-------
XGID=-ABCBBB---------b--ccBcdA-:1:1:1:41:0:0:0:0:10
X:Player 1 O:Player 2
Score is X:0 O:0. Unlimited Game
+13-14-15-16-17-18------19-20-21-22-23-24-+
| O | | O O X O O X |
| O | | O O X O O |
| | | O O O O |
| | | O |
| | | |
| |BAR| |
| | | |
| | | |
| | | X | +---+
| | | X X X X X | | 2 |
| | | X X X X X X | +---+
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 110 O: 68 X-O: 0-0
Cube: 2, X own cube
X to play 41
1. Rollout¹ 6/1 eq:-0.796
Player: 16.47% (G:1.43% B:0.03%)
Opponent: 83.53% (G:20.13% B:0.21%)
Confidence: ±0.005 (-0.801..-0.791) - [100.0%]
2. Rollout¹ 21/17 3/2 eq:-0.817 (-0.020)
Player: 19.98% (G:1.60% B:0.05%)
Opponent: 80.02% (G:29.18% B:0.78%)
Confidence: ±0.005 (-0.822..-0.811) - [0.0%]
3. Rollout¹ 5/1 3/2 eq:-0.817 (-0.021)
Player: 15.97% (G:1.15% B:0.02%)
Opponent: 84.03% (G:20.87% B:0.24%)
Confidence: ±0.004 (-0.821..-0.813) - [0.0%]
4. Rollout¹ 5/4 5/1 eq:-0.826 (-0.030)
Player: 14.63% (G:1.15% B:0.02%)
Opponent: 85.37% (G:18.71% B:0.15%)
Confidence: ±0.004 (-0.830..-0.822) - [0.0%]
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
---
Tim Chow