Here's a rollout for this position:

              
 
              
 | | White is Player 2
score: 0 pip: 63 | Unlimited Game Beaver | pip: 169 score: 0
Blue is Player 1 | |
XGID=-aA-BCB------A--AA-aBddBe-:1:1:1:15:0:0:2:0:10 |
Blue to play 15 |
1. | Rollout1 | 20/15 20/19* | eq: +1.0137 |
| Player: Opponent: | 76.56% (G:25.78% B:1.07%) 23.44% (G:12.54% B:0.43%) | Conf.: ±0.0050 (+1.0086...+1.0187) - [82.0%] Duration: 32 minutes 30 seconds |
|
2. | Rollout1 | 20/19* 19/14 | eq: +1.0102 (-0.0035) |
| Player: Opponent: | 76.46% (G:25.76% B:1.04%) 23.54% (G:12.58% B:0.41%) | Conf.: ±0.0051 (+1.0051...+1.0153) - [17.1%] Duration: 30 minutes 59 seconds |
|
3. | Rollout1 | 20/19* 17/12 | eq: +1.0058 (-0.0078) |
| Player: Opponent: | 76.72% (G:26.28% B:1.07%) 23.28% (G:12.59% B:0.45%) | Conf.: ±0.0050 (+1.0008...+1.0109) - [0.9%] Duration: 26 minutes 14 seconds |
|
4. | Rollout2 | 20/19* 16/11 | eq: +0.9826 (-0.0311) |
| Player: Opponent: | 76.28% (G:26.07% B:1.29%) 23.72% (G:12.97% B:0.45%) | Conf.: ±0.0165 (+0.9661...+0.9990) - [0.0%] Duration: 4 minutes 04 seconds |
|
5. | Rollout2 | 20/19* 13/8 | eq: +0.9356 (-0.0781) |
| Player: Opponent: | 74.57% (G:25.41% B:1.08%) 25.43% (G:14.27% B:0.42%) | Conf.: ±0.0179 (+0.9177...+0.9535) - [0.0%] Duration: 4 minutes 37 seconds |
|
|
1 10368 Games rolled with Variance Reduction. Dice Seed: 1824371 Moves: 3-ply, cube decisions: XG Roller
2 1296 Games rolled with Variance Reduction. Dice Seed: 1824371 Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.10
XG made it a small recube (and easy take) btw, but a rollout showed this:

              
 
              
 | | White is Player 2
score: 0 pip: 63 | Unlimited Game Beaver | pip: 169 score: 0
Blue is Player 1 | |
XGID=-aA-BCB------A--AA-aBddBe-:1:1:1:00:0:0:2:0:10 |
Blue on roll, cube action? |
Analyzed in Rollout | No redouble | Redouble/Take |
Player Winning Chances: | 72.690% (G:20.191% B:0.769%) | 73.850% (G:21.552% B:0.843%) |
Opponent Winning Chances: | 27.310% (G:14.642% B:0.269%) | 26.150% (G:13.826% B:0.201%) |
Cubeless Equities | +0.5143 | +1.1213 |
Cubeful Equities |
No redouble: | +0.8313 (-0.1687) | ±0.0016 (+0.8297..+0.8330) |
Redouble/Take: | +1.0181 (+0.0181) | ±0.0029 (+1.0153..+1.0210) |
Redouble/Pass: | +1.0000 |
|
Best Cube action: Redouble / Pass |
Rollout details |
93312 Games rolled with Variance Reduction. Dice Seed: 1824371 Moves: 3-ply, cube decisions: XG Roller
|
|
Double Decision confidence: | 100.0% |
Take Decision confidence: | 100.0% |
Duration: 9 hours 37 minutes |
eXtreme Gammon Version: 2.10
Thought I'd let it run overnight. (Had a good sleep!) A take seems to be only a small error therefore, and the taker does have the easier plays. With RD/T the 51 roll gives:

              
 
              
 | | White is Player 2
score: 0 pip: 63 | Unlimited Game Beaver | pip: 169 score: 0
Blue is Player 1 | |
XGID=-aA-BCB------A--AA-aBddBe-:2:-1:1:51:0:0:2:0:10 |
Blue to play 51 |
1. | Rollout1 | 20/19* 17/12 | eq: +0.7076 |
| Player: Opponent: | 78.76% (G:28.08% B:1.20%) 21.24% (G:11.20% B:0.29%) | Conf.: ±0.0064 (+0.7012...+0.7140) - [100.0%] Duration: 14 minutes 09 seconds |
|
2. | Rollout1 | 20/15 20/19* | eq: +0.6912 (-0.0164) |
| Player: Opponent: | 78.43% (G:27.69% B:1.20%) 21.57% (G:11.52% B:0.32%) | Conf.: ±0.0062 (+0.6850...+0.6973) - [0.0%] Duration: 13 minutes 43 seconds |
|
3. | Rollout1 | 20/19* 19/14 | eq: +0.6898 (-0.0179) |
| Player: Opponent: | 78.33% (G:27.53% B:1.20%) 21.67% (G:11.38% B:0.31%) | Conf.: ±0.0069 (+0.6829...+0.6966) - [0.0%] Duration: 13 minutes 34 seconds |
|
4. | Rollout2 | 20/19* 16/11 | eq: +0.6626 (-0.0450) |
| Player: Opponent: | 77.74% (G:27.35% B:1.22%) 22.26% (G:12.22% B:0.31%) | Conf.: ±0.0129 (+0.6497...+0.6755) - [0.0%] Duration: 3 minutes 33 seconds |
|
5. | Rollout3 | 20/19* 13/8 | eq: +0.5936 (-0.1140) |
| Player: Opponent: | 75.67% (G:25.80% B:1.13%) 24.33% (G:13.47% B:0.22%) | Conf.: ±0.0259 (+0.5676...+0.6195) - [0.0%] Duration: 56.7 seconds |
|
|
1 5184 Games rolled with Variance Reduction. Dice Seed: 1824371 Moves: 3-ply, cube decisions: XG Roller
2 1296 Games rolled with Variance Reduction. Dice Seed: 1824371 Moves: 3-ply, cube decisions: XG Roller
3 324 Games rolled with Variance Reduction. Dice Seed: 1824371 Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.10
I think Keene and I must have subconsciously factored in for the only sensible cube position!