I've seen this problem come up many times over the years and I've never really stopped to analyze it because making the two point is basically always correct. Here we have a kind of rare scenario though. In the variant below all I did was move the opp's check back 5 pips and it's enough to make the 'standard' play right again.

              
 
              
 | | White is Player 2
score: 0 pip: 111 | Unlimited Game Jacoby Beaver | pip: 110 score: 0
Blue is Player 1 | |
XGID=a--BBBC-B---bD---abcb-bb--:1:-1:1:33:0:0:3:0:10 |
Blue to play 33 |
1. | Rollout1 | 13/7(2) | eq: +0.920 |
| Player: Opponent: | 90.20% (G:15.52% B:0.21%) 9.80% (G:0.88% B:0.05%) | Conf.: ± 0.005 (+0.915...+0.925) - [100.0%] Duration: 1 minute 08 seconds |
|
2. | Rollout1 | 8/2(2) | eq: +0.881 (-0.038) |
| Player: Opponent: | 86.65% (G:20.16% B:0.17%) 13.35% (G:1.18% B:0.04%) | Conf.: ± 0.005 (+0.877...+0.886) - [0.0%] Duration: 55.5 seconds |
|
|
1 1296 Games rolled with Variance Reduction. Dice Seed: 15351378 Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.10

              
 
              
 | | White is Player 2
score: 0 pip: 116 | Unlimited Game Jacoby Beaver | pip: 110 score: 0
Blue is Player 1 | |
XGID=a--BBBC-B---cD----bcb-bb--:1:-1:1:33:0:0:3:0:10 |
Blue to play 33 |
1. | Rollout1 | 8/2(2) | eq: +0.962 |
| Player: Opponent: | 87.46% (G:26.63% B:0.13%) 12.54% (G:1.41% B:0.05%) | Conf.: ± 0.005 (+0.957...+0.966) - [100.0%] Duration: 59.7 seconds |
|
2. | Rollout1 | 13/7(2) | eq: +0.944 (-0.017) |
| Player: Opponent: | 89.52% (G:19.64% B:0.21%) 10.48% (G:1.03% B:0.04%) | Conf.: ± 0.005 (+0.939...+0.949) - [0.0%] Duration: 1 minute 10 seconds |
|
|
1 1296 Games rolled with Variance Reduction. Dice Seed: 15351378 Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.10