There are two types of plays that can be best: (a) 20/18(2) and two deuces on the near side; and (b) all four deuces on the near side. Within each type, there is seldom any significant difference in equity between exact plays. I found this to be true among a wide range of (shotless) changes to White's position.
If the position is changed such that White's two 13pt checkers are on her 11pt or 10pt, type "a" still dominates. If they are moved to the 9pt, type "b" is essentially even with type "a." Move them one point further, to the 8pt, as illustrated below, and type "b" solidly beats type "a."
| 1. | Rollout1 | 8/4 7/5 6/4 | eq: -0.505 |
| Player: Opponent: | 35.06% (G:2.68% B:0.07%) 64.94% (G:2.96% B:0.06%) | Conf.: ± 0.005 (-0.510...-0.500) - [65.0%] Duration: 22 minutes 41 seconds |
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| 2. | Rollout1 | 7/5(2) 6/4(2) | eq: -0.508 (-0.003) |
| Player: Opponent: | 34.98% (G:2.70% B:0.06%) 65.02% (G:3.01% B:0.06%) | Conf.: ± 0.005 (-0.512...-0.503) - [14.9%] Duration: 21 minutes 22 seconds |
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| 3. | Rollout1 | 7/5(2) 6/2 | eq: -0.509 (-0.004) |
| Player: Opponent: | 34.86% (G:2.69% B:0.07%) 65.14% (G:3.06% B:0.07%) | Conf.: ± 0.005 (-0.514...-0.504) - [7.3%] Duration: 18 minutes 30 seconds |
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| 4. | Rollout1 | 8/4(2) | eq: -0.509 (-0.004) |
| Player: Opponent: | 34.79% (G:2.65% B:0.07%) 65.21% (G:2.94% B:0.06%) | Conf.: ± 0.005 (-0.514...-0.504) - [5.9%] Duration: 20 minutes 00 second |
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| 5. | Rollout1 | 8/4 7/5(2) | eq: -0.510 (-0.005) |
| Player: Opponent: | 34.91% (G:2.70% B:0.06%) 65.09% (G:3.00% B:0.06%) | Conf.: ± 0.005 (-0.514...-0.505) - [3.4%] Duration: 19 minutes 41 seconds |
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| 6. | Rollout1 | 7/5 6/4 6/2 | eq: -0.510 (-0.005) |
| Player: Opponent: | 34.84% (G:3.09% B:0.08%) 65.16% (G:3.58% B:0.09%) | Conf.: ± 0.005 (-0.515...-0.505) - [2.9%] Duration: 19 minutes 36 seconds |
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| 7. | Rollout1 | 8/2 6/4 | eq: -0.513 (-0.008) |
| Player: Opponent: | 34.75% (G:2.90% B:0.07%) 65.25% (G:3.44% B:0.11%) | Conf.: ± 0.005 (-0.517...-0.508) - [0.3%] Duration: 17 minutes 57 seconds |
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| 8. | Rollout2 | 8/2 7/5 | eq: -0.515 (-0.010) |
| Player: Opponent: | 34.65% (G:3.12% B:0.08%) 65.35% (G:3.59% B:0.08%) | Conf.: ± 0.007 (-0.522...-0.508) - [0.3%] Duration: 11 minutes 05 seconds |
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| 9. | Rollout2 | 7/5 7/3 6/4 | eq: -0.521 (-0.016) |
| Player: Opponent: | 34.53% (G:2.88% B:0.08%) 65.47% (G:3.48% B:0.09%) | Conf.: ± 0.006 (-0.527...-0.514) - [0.0%] Duration: 13 minutes 06 seconds |
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| 10. | Rollout3 | 20/18(2) 7/5(2) | eq: -0.536 (-0.031) |
| Player: Opponent: | 32.59% (G:1.43% B:0.05%) 67.41% (G:2.40% B:0.07%) | Conf.: ± 0.010 (-0.545...-0.526) - [0.0%] Duration: 14 minutes 48 seconds |
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| 11. | Rollout3 | 20/18(2) 7/5 6/4 | eq: -0.548 (-0.043) |
| Player: Opponent: | 32.46% (G:1.61% B:0.05%) 67.54% (G:2.78% B:0.10%) | Conf.: ± 0.011 (-0.559...-0.537) - [0.0%] Duration: 17 minutes 08 seconds |
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1 5184 Games rolled with Variance Reduction. Dice Seed: 32879269 Moves: 3-ply, cube decisions: XG Roller
2 2592 Games rolled with Variance Reduction. Dice Seed: 32879269 Moves: 3-ply, cube decisions: XG Roller
3 1296 Games rolled with Variance Reduction. Dice Seed: 32879269 Moves: 3-ply, cube decisions: XG Roller
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