Below are some variants of the Othello Quiz positions. I see that Nack has done an in-depth study of problem 1. I have instead taken the approach of finding one variant per problem.
1. Interchange the match scores. Now 10/4 9/4 is much closer. At gammon save (not shown), 10/4 9/4 is the bot's top choice.
          
 
         
 | | White is Player 2
score: 0
pip: 73 | | 7 point match | pip: 140
score: 4
Blue is Player 1 |
|
| XGID=-a---BE-BAB----A--bbBbbcc-:1:1:1:56:4:0:0:7:10 |
| Blue to play 56 |
| 1. | Rollout1 | 15/9 6/1* | eq: -0.085 |
| Player:
Opponent: | 51.34% (G:6.74% B:0.26%)
48.66% (G:18.24% B:0.08%) | Conf.: ± 0.006 (-0.091...-0.079) - [100.0%]
Duration: 11 minutes 45 seconds |
|
| 2. | Rollout1 | 10/4 9/4 | eq: -0.110 (-0.025) |
| Player:
Opponent: | 47.81% (G:4.35% B:0.23%)
52.19% (G:12.86% B:0.10%) | Conf.: ± 0.005 (-0.115...-0.105) - [0.0%]
Duration: 10 minutes 05 seconds |
|
| |
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release, MET: Kazaross XG2
2. Give White a blotty board. Now volunteering a shot with 8/4 rolls out on top.
  
     
| | White is Player 2
score: 0
pip: 136 | | 5 point match | pip: 76
score: 2
Blue is Player 1 |
|
| XGID=-BBb-DC-D---b--a-cabb--aa-:1:-1:1:31:2:0:0:5:10 |
| Blue to play 31 |
| 1. | Rollout1 | 8/4 | eq: +0.499 |
| Player:
Opponent: | 76.70% (G:20.69% B:1.27%)
23.30% (G:2.21% B:0.15%) | Conf.: ± 0.007 (+0.492...+0.506) - [100.0%]
Duration: 12 minutes 43 seconds |
|
| 2. | Rollout1 | 8/5 2/1 | eq: +0.475 (-0.024) |
| Player:
Opponent: | 76.41% (G:14.50% B:0.40%)
23.59% (G:1.63% B:0.12%) | Conf.: ± 0.006 (+0.469...+0.481) - [0.0%]
Duration: 10 minutes 10 seconds |
|
| 3. | Rollout1 | 8/7 8/5 | eq: +0.445 (-0.054) |
| Player:
Opponent: | 74.42% (G:22.39% B:1.00%)
25.58% (G:2.17% B:0.11%) | Conf.: ± 0.008 (+0.438...+0.453) - [0.0%]
Duration: 12 minutes 40 seconds |
|
| |
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release, MET: Kazaross XG2
3. Change the roll to 52. Now XG thinks there are many close choices, but 6/1* 3/1 isn't one of them.
 
| | White is Player 2
score: 0
pip: 80 | Unlimited Game
Jacoby Beaver | pip: 83
score: 0
Blue is Player 1 |
|
| XGID=-aBBBCC-B---a---A--bbbbbc-:1:-1:1:52:0:0:3:0:10 |
| Blue to play 52 |
| 1. | Rollout1 | 16/11 5/3 | eq: +0.384 |
| Player:
Opponent: | 72.03% (G:1.84% B:0.03%)
27.97% (G:1.02% B:0.01%) | Conf.: ± 0.004 (+0.380...+0.387) - [99.6%]
Duration: 1 minute 36 seconds |
|
| 2. | Rollout1 | 8/1* | eq: +0.377 (-0.007) |
| Player:
Opponent: | 70.60% (G:16.21% B:0.36%)
29.40% (G:11.19% B:0.37%) | Conf.: ± 0.003 (+0.374...+0.380) - [0.4%]
Duration: 1 minute 06 seconds |
|
| 3. | Rollout1 | 16/11 6/4 | eq: +0.375 (-0.009) |
| Player:
Opponent: | 71.73% (G:1.69% B:0.03%)
28.27% (G:0.83% B:0.01%) | Conf.: ± 0.004 (+0.371...+0.379) - [0.0%]
Duration: 1 minute 24 seconds |
|
| 4. | Rollout1 | 16/9 | eq: +0.355 (-0.028) |
| Player:
Opponent: | 71.04% (G:1.71% B:0.04%)
28.96% (G:0.98% B:0.01%) | Conf.: ± 0.004 (+0.352...+0.359) - [0.0%]
Duration: 1 minute 09 seconds |
|
| 5. | Rollout1 | 16/14 6/1* | eq: +0.343 (-0.040) |
| Player:
Opponent: | 68.67% (G:14.38% B:0.34%)
31.33% (G:8.98% B:0.11%) | Conf.: ± 0.006 (+0.338...+0.349) - [0.0%]
Duration: 1 minute 41 seconds |
|
| 6. | Rollout1 | 6/1* 5/3 | eq: +0.321 (-0.063) |
| Player:
Opponent: | 67.89% (G:15.54% B:0.37%)
32.11% (G:10.17% B:0.13%) | Conf.: ± 0.005 (+0.316...+0.326) - [0.0%]
Duration: 1 minute 05 seconds |
|
| 7. | Rollout1 | 16/11 8/6 | eq: +0.311 (-0.073) |
| Player:
Opponent: | 69.00% (G:1.69% B:0.03%)
31.00% (G:2.08% B:0.04%) | Conf.: ± 0.004 (+0.307...+0.315) - [0.0%]
Duration: 56.2 seconds |
|
| 8. | Rollout1 | 6/1* 3/1 | eq: +0.284 (-0.099) |
| Player:
Opponent: | 64.50% (G:15.59% B:0.35%)
35.50% (G:12.75% B:0.19%) | Conf.: ± 0.005 (+0.279...+0.290) - [0.0%]
Duration: 1 minute 19 seconds |
|
| |
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release
4. Shift a spare from the 6pt to the 7pt. Now pulling up the 8pt is a whopper and the two top choices are very different in character from each other.
 
| | White is Player 2
score: 0
pip: 102 | Unlimited Game
Jacoby Beaver | pip: 126
score: 0
Blue is Player 1 |
|
| XGID=-aB-C-BCB---b-----Bcdb-c-A:1:1:1:11:0:0:3:0:10 |
| Blue to play 11 |
| 1. | Rollout1 | Bar/24 7/6 2/1*(2) | eq: -0.185 |
| Player:
Opponent: | 38.82% (G:7.54% B:0.22%)
61.18% (G:18.28% B:0.40%) | Conf.: ± 0.007 (-0.192...-0.178) - [94.0%]
Duration: 7 minutes 08 seconds |
|
| 2. | Rollout1 | Bar/24 18/17(2) 7/6 | eq: -0.193 (-0.008) |
| Player:
Opponent: | 39.53% (G:9.52% B:0.53%)
60.47% (G:22.43% B:0.42%) | Conf.: ± 0.007 (-0.201...-0.186) - [6.0%]
Duration: 7 minutes 47 seconds |
|
| 3. | Rollout1 | Bar/24 7/6 4/2 | eq: -0.280 (-0.095) |
| Player:
Opponent: | 37.02% (G:7.35% B:0.24%)
62.98% (G:23.31% B:0.50%) | Conf.: ± 0.008 (-0.288...-0.272) - [0.0%]
Duration: 7 minutes 40 seconds |
|
| 4. | Rollout1 | Bar/24 8/7 8/6 | eq: -0.293 (-0.108) |
| Player:
Opponent: | 35.72% (G:6.20% B:0.23%)
64.28% (G:20.27% B:0.27%) | Conf.: ± 0.007 (-0.300...-0.285) - [0.0%]
Duration: 7 minutes 11 seconds |
|
| |
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release
5. Downgrade the 5pt to the 2pt. Now 13/5 is tied for first place.
| | White is Player 2
score: 0
pip: 115 | Unlimited Game
Jacoby Beaver | pip: 133
score: 0
Blue is Player 1 |
|
| XGID=-aBB--CBA---bC---bcca-Bba-:1:-1:1:35:0:0:3:0:10 |
| Blue to play 35 |
| 1. | Rollout1 | 13/10 13/8 | eq: -0.111 |
| Player:
Opponent: | 51.89% (G:15.82% B:0.64%)
48.11% (G:12.38% B:0.49%) | Conf.: ± 0.009 (-0.120...-0.102) - [86.8%]
Duration: 10 minutes 52 seconds |
|
| 2. | Rollout1 | 13/5 | eq: -0.119 (-0.008) |
| Player:
Opponent: | 52.26% (G:17.11% B:0.56%)
47.74% (G:15.30% B:0.56%) | Conf.: ± 0.010 (-0.128...-0.109) - [13.2%]
Duration: 10 minutes 33 seconds |
|
| |
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release
6. Shift a spare from the 7pt to the 8pt. Now anchoring up is tied for first.
 
 
| | White is Player 2
score: 4
pip: 144 | | 7 point match | pip: 162
score: 0
Blue is Player 1 |
|
| XGID=-a---ACBDa--bBa--bceA--AA-:0:0:1:45:0:4:0:7:10 |
| Blue to play 45 |
| 1. | Rollout1 | 13/9* 6/1* | eq: +0.038 |
| Player:
Opponent: | 46.36% (G:14.45% B:0.62%)
53.64% (G:23.01% B:4.83%) | Conf.: ± 0.012 (+0.026...+0.050) - [85.8%]
Duration: 1 hour 51 minutes |
|
| 2. | Rollout1 | 24/20 8/3 | eq: +0.029 (-0.008) |
| Player:
Opponent: | 46.11% (G:12.23% B:0.49%)
53.89% (G:17.51% B:1.88%) | Conf.: ± 0.009 (+0.021...+0.038) - [14.2%]
Duration: 1 hour 37 minutes |
|
| 3. | Rollout1 | 20/15 13/9* | eq: -0.008 (-0.045) |
| Player:
Opponent: | 46.00% (G:12.75% B:0.72%)
54.00% (G:24.72% B:5.09%) | Conf.: ± 0.011 (-0.018...+0.003) - [0.0%]
Duration: 1 hour 47 minutes |
|
| 4. | Rollout2 | 6/1* 5/1 | eq: -0.011 (-0.048) |
| Player:
Opponent: | 42.78% (G:15.54% B:0.66%)
57.22% (G:15.28% B:1.73%) | Conf.: ± 0.013 (-0.023...+0.002) - [0.0%]
Duration: 26 minutes 32 seconds |
|
| |
1 3888 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller
2 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release, MET: Kazaross XG2
7. Move the three checkers from the 5pt to the 4pt. Now slotting 8/5 edges ahead of 13/10.
 
| | White is Player 2
score: 1
pip: 124 | | 5 point match | pip: 155
score: 0
Blue is Player 1 |
|
| XGID=----C-C-Ca--cD--ad-d---bAA:1:1:1:35:0:1:0:5:10 |
| Blue to play 35 |
| 1. | Rollout1 | Bar/20 8/5 | eq: -0.334 |
| Player:
Opponent: | 34.44% (G:8.35% B:0.63%)
65.56% (G:21.67% B:2.32%) | Conf.: ± 0.005 (-0.339...-0.329) - [100.0%]
Duration: 1 hour 13 minutes |
|
| 2. | Rollout1 | Bar/20 13/10 | eq: -0.347 (-0.013) |
| Player:
Opponent: | 33.96% (G:7.63% B:0.63%)
66.04% (G:21.35% B:2.27%) | Conf.: ± 0.005 (-0.352...-0.343) - [0.0%]
Duration: 1 hour 12 minutes |
|
| |
1 5184 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release, MET: Kazaross XG2
8. Move White's blot from our 2pt to our 5pt. Now 9/3 8/3 is tied for first and 20/9 might be the DMP play.
| | White is Player 2
score: 0
pip: 173 | | 5 point match | pip: 155
score: 1
Blue is Player 1 |
|
| XGID=-a---aEaCA--eD---b-eB-----:0:0:1:65:1:0:0:5:10 |
| Blue to play 65 |
| 1. | Rollout1 | 13/7* 6/1* | eq: +0.574 |
| Player:
Opponent: | 60.32% (G:19.21% B:1.21%)
39.68% (G:7.74% B:0.37%) | Conf.: ± 0.009 (+0.565...+0.583) - [60.0%]
Duration: 1 hour 28 minutes |
|
| 2. | Rollout1 | 9/3 8/3 | eq: +0.573 (-0.002) |
| Player:
Opponent: | 60.91% (G:17.56% B:1.14%)
39.09% (G:6.79% B:0.39%) | Conf.: ± 0.010 (+0.563...+0.583) - [40.0%]
Duration: 1 hour 32 minutes |
|
| 3. | Rollout1 | 20/9 | eq: +0.545 (-0.029) |
| Player:
Opponent: | 61.22% (G:14.82% B:1.51%)
38.78% (G:8.11% B:0.34%) | Conf.: ± 0.010 (+0.535...+0.555) - [0.0%]
Duration: 1 hour 45 minutes |
|
| |
1 4333 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release, MET: Kazaross XG2
9. Interchange the match scores. Now 24/20 24/23 clearly wins the rollout.
| | White is Player 2
score: 3
pip: 158 | | 7 point match | pip: 176
score: 5
Blue is Player 1 |
|
| XGID=----b-EAB---dD-a-c-e---AB-:0:0:1:14:5:3:0:7:10 |
| Blue to play 14 |
| 1. | Rollout1 | 24/23 24/20 | eq: -0.866 |
| Player:
Opponent: | 37.86% (G:9.05% B:0.84%)
62.14% (G:15.09% B:2.28%) | Conf.: ± 0.018 (-0.884...-0.848) - [100.0%]
Duration: 23 minutes 48 seconds |
|
| 2. | Rollout1 | 24/20 7/6 | eq: -0.916 (-0.050) |
| Player:
Opponent: | 37.98% (G:10.05% B:1.16%)
62.02% (G:16.27% B:2.33%) | Conf.: ± 0.018 (-0.934...-0.898) - [0.0%]
Duration: 22 minutes 59 seconds |
|
| 3. | Rollout1 | 24/20 23/22 | eq: -0.928 (-0.062) |
| Player:
Opponent: | 38.12% (G:9.11% B:1.11%)
61.88% (G:16.68% B:3.66%) | Conf.: ± 0.018 (-0.946...-0.910) - [0.0%]
Duration: 22 minutes 20 seconds |
|
| 4. | Rollout1 | 13/8 | eq: -0.930 (-0.064) |
| Player:
Opponent: | 38.44% (G:9.63% B:1.21%)
61.56% (G:17.05% B:3.71%) | Conf.: ± 0.018 (-0.948...-0.912) - [0.0%]
Duration: 22 minutes 05 seconds |
|
| 5. | Rollout1 | 24/20 6/5 | eq: -0.942 (-0.076) |
| Player:
Opponent: | 41.96% (G:10.24% B:1.15%)
58.04% (G:20.82% B:5.74%) | Conf.: ± 0.022 (-0.964...-0.920) - [0.0%]
Duration: 24 minutes 43 seconds |
|
| 6. | Rollout1 | 23/18 | eq: -0.945 (-0.079) |
| Player:
Opponent: | 39.17% (G:9.52% B:0.92%)
60.83% (G:18.10% B:3.83%) | Conf.: ± 0.019 (-0.964...-0.927) - [0.0%]
Duration: 22 minutes 50 seconds |
|
| |
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release, MET: Kazaross XG2
10. Move a checker from the 12pt to the 13pt. I'm not surprised to see 10/9(2) 8/7(2) on top but I am surprised to see 13/11 12/11(2) tied for first place, given how poorly 12/10 12/11(2) fared in the original position.
| | White is Player 2
score: 0
pip: 133 | Unlimited Game
Jacoby Beaver | pip: 102
score: 0
Blue is Player 1 |
|
| XGID=-C-bBbC-B-B-BA----abcbab--:1:1:1:11:0:0:3:0:10 |
| Blue to play 11 |
| 1. | Rollout1 | 10/9(2) 8/7(2) | eq: +0.605 |
| Player:
Opponent: | 64.10% (G:10.84% B:0.24%)
35.90% (G:6.61% B:0.18%) | Conf.: ± 0.010 (+0.595...+0.614) - [75.7%]
Duration: 12 minutes 59 seconds |
|
| 2. | Rollout1 | 13/11 12/11(2) | eq: +0.600 (-0.005) |
| Player:
Opponent: | 64.62% (G:8.75% B:0.12%)
35.38% (G:5.69% B:0.16%) | Conf.: ± 0.009 (+0.591...+0.609) - [24.3%]
Duration: 12 minutes 10 seconds |
|
| 3. | Rollout1 | 12/11(2) 10/9(2) | eq: +0.578 (-0.026) |
| Player:
Opponent: | 63.31% (G:11.34% B:0.27%)
36.69% (G:7.16% B:0.20%) | Conf.: ± 0.009 (+0.569...+0.588) - [0.0%]
Duration: 11 minutes 45 seconds |
|
| 4. | Rollout1 | 12/10(2) | eq: +0.569 (-0.036) |
| Player:
Opponent: | 62.56% (G:10.36% B:0.22%)
37.44% (G:7.08% B:0.15%) | Conf.: ± 0.009 (+0.560...+0.578) - [0.0%]
Duration: 11 minutes 45 seconds |
|
| |
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release