For Problem 1, the rollout indicates that there are several close plays (though what human would play 7/1 6/4?). However, what I don't understand is why 22/16 3/1 seems to be so bad. Any theories?
For Problem 2, the rollout says that 7/1* isn't a blunder, but prefers to get a back checker going. This is a decision I always find tough; when do we say that the attacking options up front aren't strong enough, so we should move a back checker?
Problem 1

              
 
              
 | | White is Player 2
score: 0 pip: 78 | Money session Jacoby | pip: 95 score: 0
Blue is Player 1 | |
| XGID=-ABCBBBA---------bbcccBaa-:1:1:1:62:0:0:1:0:10 |
| Blue to play 62 |
| 1. | Rollout1 | 7/1 3/1 | eq: -0.650 |
| Player: Opponent: | 16.29% (G:0.17% B:0.00%) 83.71% (G:2.64% B:0.02%) | Conf: ± 0.005 (-0.655...-0.645) Duration: 15 minutes 16 seconds |
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| 2. | Rollout1 | 7/1 6/4 | eq: -0.660 (-0.010) |
| Player: Opponent: | 15.88% (G:0.25% B:0.01%) 84.12% (G:3.08% B:0.03%) | Conf: ± 0.005 (-0.665...-0.655) Duration: 9 minutes 41 seconds |
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| 3. | Rollout1 | 22/16 7/5 | eq: -0.662 (-0.012) |
| Player: Opponent: | 16.43% (G:0.45% B:0.01%) 83.57% (G:4.36% B:0.11%) | Conf: ± 0.005 (-0.667...-0.657) Duration: 15 minutes 19 seconds |
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| 4. | Rollout1 | 22/14 | eq: -0.668 (-0.017) |
| Player: Opponent: | 16.22% (G:0.42% B:0.01%) 83.78% (G:4.39% B:0.11%) | Conf: ± 0.006 (-0.674...-0.662) Duration: 12 minutes 36 seconds |
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| 5. | Rollout1 | 22/16 3/1 | eq: -0.693 (-0.042) |
| Player: Opponent: | 15.23% (G:0.15% B:0.01%) 84.77% (G:4.03% B:0.05%) | Conf: ± 0.005 (-0.698...-0.688) Duration: 11 minutes 13 seconds |
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1 1296 Games rolled with Variance Reduction. Dice Seed: 2 Moves and cube decisions: 3 ply
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eXtreme Gammon Version: 1.21
Problem 2

              
 
              
 | | White is Player 2
score: 0 pip: 164 | Money session Jacoby | pip: 123 score: 0
Blue is Player 1 | |
| XGID=baB-BBCAA-A-c-A--b-bcbB---:2:-1:1:42:0:0:1:0:10 |
| Blue to play 42 |
| 1. | Rollout1 | 22/16 | eq: +0.841 |
| Player: Opponent: | 74.49% (G:48.38% B:3.34%) 25.51% (G:5.64% B:0.59%) | Conf: ± 0.009 (+0.832...+0.850) Duration: 3 hours 05 minutes |
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| 2. | Rollout1 | 7/1* | eq: +0.806 (-0.035) |
| Player: Opponent: | 72.50% (G:53.24% B:2.28%) 27.50% (G:6.90% B:0.45%) | Conf: ± 0.010 (+0.796...+0.816) Duration: 2 hours 24 minutes |
|
| 3. | Rollout1 | 22/18 10/8 | eq: +0.805 (-0.036) |
| Player: Opponent: | 73.40% (G:48.76% B:3.24%) 26.60% (G:6.07% B:0.42%) | Conf: ± 0.010 (+0.795...+0.815) Duration: 2 hours 30 minutes |
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| 4. | Rollout1 | 22/18 6/4 | eq: +0.785 (-0.056) |
| Player: Opponent: | 72.55% (G:48.96% B:3.31%) 27.45% (G:6.93% B:0.69%) | Conf: ± 0.010 (+0.775...+0.795) Duration: 2 hours 12 minutes |
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| 5. | Rollout1 | 22/18 7/5 | eq: +0.765 (-0.076) |
| Player: Opponent: | 72.15% (G:47.39% B:3.42%) 27.85% (G:6.15% B:0.52%) | Conf: ± 0.010 (+0.755...+0.775) Duration: 2 hours 13 minutes |
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| 6. | Rollout1 | 14/8 | eq: +0.755 (-0.086) |
| Player: Opponent: | 71.52% (G:47.62% B:3.23%) 28.48% (G:5.65% B:0.33%) | Conf: ± 0.010 (+0.745...+0.765) Duration: 1 hour 54 minutes |
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| 7. | Rollout1 | 10/4 | eq: +0.746 (-0.095) |
| Player: Opponent: | 70.94% (G:49.20% B:3.09%) 29.06% (G:6.25% B:0.37%) | Conf: ± 0.011 (+0.735...+0.757) Duration: 2 hours 01 minute |
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1 2592 Games rolled with Variance Reduction. Dice Seed: 2 Moves and cube decisions: 3 ply
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eXtreme Gammon Version: 1.21