I will assume without any responses that everyone would have played 8/4 6/5, 7/3 6/3, or maybe 8/4 7/6? Little did you know that depending on the ply of analysis anything other than either 7/2 or 6/5 6/2 is potentially a blunder!? Even a rollout supports these plays. Is there any chance they're really best?
3 Ply

              
 
              
 | | White is Player 2
score: 0 pip: 106 | Unlimited Game Jacoby Beaver | pip: 91 score: 0
Blue is Player 1 | |
XGID=-ABAAACBBb---Ba--abbcbb---:1:-1:1:41:0:0:3:0:10 |
Blue to play 41 |
1. | 3-ply | 7/2 | eq: +0.401 |
| Player: Opponent: | 74.22% (G:1.27% B:0.01%) 25.78% (G:0.60% B:0.01%) | |
|
2. | 3-ply | 6/5 6/2 | eq: +0.394 (-0.007) |
| Player: Opponent: | 74.14% (G:0.82% B:0.00%) 25.86% (G:0.61% B:0.00%) | |
|
3. | 3-ply | 8/4 7/6 | eq: +0.342 (-0.060) |
| Player: Opponent: | 71.88% (G:0.63% B:0.00%) 28.12% (G:0.45% B:0.00%) | |
|
4. | 3-ply | 8/4 6/5 | eq: +0.313 (-0.088) |
| Player: Opponent: | 70.77% (G:0.38% B:0.00%) 29.23% (G:0.46% B:0.00%) | |
|
5. | 3-ply | 7/3 6/5 | eq: +0.304 (-0.097) |
| Player: Opponent: | 70.41% (G:0.40% B:0.00%) 29.59% (G:0.46% B:0.00%) | |
|
eXtreme Gammon Version: 2.19.206.pre-release
4 Ply

              
 
              
 | | White is Player 2
score: 0 pip: 106 | Unlimited Game Jacoby Beaver | pip: 91 score: 0
Blue is Player 1 | |
XGID=-ABAAACBBb---Ba--abbcbb---:1:-1:1:41:0:0:3:0:10 |
Blue to play 41 |
1. | 4-ply | 7/2 | eq: +0.388 |
| Player: Opponent: | 73.31% (G:2.36% B:0.02%) 26.69% (G:1.07% B:0.01%) | |
|
2. | 4-ply | 6/5 6/2 | eq: +0.381 (-0.007) |
| Player: Opponent: | 73.24% (G:1.82% B:0.02%) 26.76% (G:1.08% B:0.01%) | |
|
3. | 4-ply | 8/4 7/6 | eq: +0.362 (-0.026) |
| Player: Opponent: | 72.48% (G:1.28% B:0.01%) 27.52% (G:0.65% B:0.01%) | |
|
4. | 4-ply | 8/4 6/5 | eq: +0.329 (-0.059) |
| Player: Opponent: | 71.34% (G:0.49% B:0.00%) 28.66% (G:0.46% B:0.00%) | |
|
5. | 4-ply | 7/3 6/5 | eq: +0.322 (-0.066) |
| Player: Opponent: | 71.07% (G:0.49% B:0.00%) 28.93% (G:0.50% B:0.00%) | |
|
eXtreme Gammon Version: 2.19.206.pre-release
XGR+

              
 
              
 | | White is Player 2
score: 0 pip: 106 | Unlimited Game Jacoby Beaver | pip: 91 score: 0
Blue is Player 1 | |
XGID=-ABAAACBBb---Ba--abbcbb---:1:-1:1:41:0:0:3:0:10 |
Blue to play 41 |
1. | XG Roller+ | 6/5 6/2 | eq: +0.426 |
| Player: Opponent: | 74.65% (G:1.92% B:0.02%) 25.35% (G:0.69% B:0.02%) | |
|
2. | XG Roller+ | 7/2 | eq: +0.425 (-0.001) |
| Player: Opponent: | 74.62% (G:1.98% B:0.02%) 25.38% (G:0.67% B:0.03%) | |
|
3. | XG Roller+ | 8/4 6/5 | eq: +0.339 (-0.087) |
| Player: Opponent: | 71.58% (G:0.58% B:0.01%) 28.42% (G:0.44% B:0.01%) | |
|
4. | XG Roller+ | 7/3 6/5 | eq: +0.329 (-0.096) |
| Player: Opponent: | 71.26% (G:0.42% B:0.00%) 28.74% (G:0.48% B:0.01%) | |
|
5. | XG Roller+ | 8/4 7/6 | eq: +0.329 (-0.096) |
| Player: Opponent: | 71.14% (G:0.57% B:0.00%) 28.86% (G:0.47% B:0.01%) | |
|
eXtreme Gammon Version: 2.19.206.pre-release
XGR++

              
 
              
 | | White is Player 2
score: 0 pip: 106 | Unlimited Game Jacoby Beaver | pip: 91 score: 0
Blue is Player 1 | |
XGID=-ABAAACBBb---Ba--abbcbb---:1:-1:1:41:0:0:3:0:10 |
Blue to play 41 |
1. | XG Roller++ | 6/5 6/2 | eq: +0.373 |
| Player: Opponent: | 72.76% (G:0.75% B:0.01%) 27.24% (G:0.43% B:0.01%) | |
|
2. | XG Roller++ | 7/2 | eq: +0.371 (-0.002) |
| Player: Opponent: | 72.49% (G:1.25% B:0.01%) 27.51% (G:0.60% B:0.01%) | |
|
3. | XG Roller++ | 8/4 6/5 | eq: +0.334 (-0.039) |
| Player: Opponent: | 71.39% (G:0.23% B:0.00%) 28.61% (G:0.41% B:0.01%) | |
|
4. | XG Roller++ | 7/3 6/5 | eq: +0.328 (-0.045) |
| Player: Opponent: | 71.13% (G:0.34% B:0.00%) 28.87% (G:0.50% B:0.01%) | |
|
5. | XG Roller++ | 8/4 7/6 | eq: +0.314 (-0.059) |
| Player: Opponent: | 70.56% (G:0.27% B:0.00%) 29.44% (G:0.55% B:0.01%) | |
|
eXtreme Gammon Version: 2.19.206.pre-release
Rollout

              
 
              
 | | White is Player 2
score: 0 pip: 106 | Unlimited Game Jacoby Beaver | pip: 91 score: 0
Blue is Player 1 | |
XGID=-ABAAACBBb---Ba--abbcbb---:1:-1:1:41:0:0:3:0:10 |
Blue to play 41 |
1. | Rollout1 | 6/5 6/2 | eq: +0.369 |
| Player: Opponent: | 72.33% (G:0.75% B:0.01%) 27.67% (G:0.59% B:0.02%) | Conf.: ± 0.006 (+0.363...+0.375) - [50.8%] Duration: 2 minutes 59 seconds |
|
2. | Rollout1 | 7/2 | eq: +0.369 (0.000) |
| Player: Opponent: | 72.23% (G:1.07% B:0.02%) 27.77% (G:0.76% B:0.03%) | Conf.: ± 0.006 (+0.363...+0.375) - [49.2%] Duration: 3 minutes 02 seconds |
|
3. | Rollout1 | 8/4 6/5 | eq: +0.334 (-0.035) |
| Player: Opponent: | 70.91% (G:0.32% B:0.01%) 29.09% (G:0.46% B:0.02%) | Conf.: ± 0.006 (+0.327...+0.340) - [0.0%] Duration: 3 minutes 00 second |
|
4. | Rollout1 | 7/3 6/5 | eq: +0.327 (-0.042) |
| Player: Opponent: | 70.59% (G:0.25% B:0.01%) 29.41% (G:0.44% B:0.01%) | Conf.: ± 0.006 (+0.321...+0.334) - [0.0%] Duration: 2 minutes 53 seconds |
|
5. | Rollout1 | 8/4 7/6 | eq: +0.324 (-0.045) |
| Player: Opponent: | 70.43% (G:0.30% B:0.02%) 29.57% (G:0.60% B:0.01%) | Conf.: ± 0.006 (+0.318...+0.330) - [0.0%] Duration: 2 minutes 32 seconds |
|
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1 972 Games rolled with Variance Reduction. Dice Seed: 41925206 Moves: 3-ply, cube decisions: XG Roller
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eXtreme Gammon Version: 2.19.206.pre-release