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PotD 04-25-26 - Variants

Posted By: Nack Ballard
Date: Tuesday, 28 April 2026, at 9:51 p.m.

In Response To: Position of the Day 04-25-26 - Rollout (Stick)





White is Player 2

score: 0
pip: 206
Unlimited Game
Jacoby Beaver
pip: 138
score: 0

Blue is Player 1
XGID=aAca--D-CB-AdC---b-bbA----:0:0:1:00:0:0:3:0:10
Original position

Analyzed in Rollout No double Double/Take
Player Winning Chances: 56.79% (G:30.57% B:1.91%) 56.70% (G:30.41% B:1.89%)
Opponent Winning Chances: 43.21% (G:8.86% B:0.47%) 43.30% (G:9.06% B:0.48%)
Cubeless Equities +0.367 +0.723
Cubeful Equities
No double:+0.482±0.023 (+0.459..+0.504)
Double/Take:+0.351 (-0.130)±0.027 (+0.324..+0.379)
Double/Pass:+1.000 (+0.518)
Best Cube action: No double / Take
Percentage of wrong pass needed to make the double decision right: 16.7%
Rollout details
1296 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100.0%
Take Decision confidence:100.0%
Duration: 2 minutes 37 seconds

Above is Stick's rollout of the original position.

Below are two cusp variants, each based on a single change.

The third variant extricates Blue's lone back checker around and covers his 11pt. It may seem surprising that this change has a significantly smaller impact than each of the first two.

Nack





White is Player 2

score: 0
pip: 208
Unlimited Game
Jacoby Beaver
pip: 138
score: 0

Blue is Player 1
XGID=aAca--D-CB-AdC---b-d-A----:0:0:1:00:0:0:3:0:10
Variant 1: The White 5pt checkers are on his 6pt

Analyzed in Rollout No double Double/Take
Player Winning Chances: 61.49% (G:33.93% B:2.45%) 61.49% (G:34.17% B:2.46%)
Opponent Winning Chances: 38.51% (G:6.97% B:0.32%) 38.51% (G:7.14% B:0.33%)
Cubeless Equities +0.521 +1.042
Cubeful Equities
No double:+0.705 (-0.004)±0.012 (+0.694..+0.717)
Double/Take:+0.710±0.014 (+0.696..+0.723)
Double/Pass:+1.000 (+0.290)
Best Cube action: Double / Take
Rollout details
5184 Games rolled with Variance Reduction.
Dice Seed: 91642967
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:66.8%
Take Decision confidence:100.0%
Duration: 3 hours 30 minutes






White is Player 2

score: 0
pip: 206
Unlimited Game
Jacoby Beaver
pip: 143
score: 0

Blue is Player 1
XGID=a-ca--D-DB-BdB---b-bbA----:0:0:1:00:0:0:3:0:10
Variant 2: The Blue 1pt checker is on his 11pt

Analyzed in Rollout No double Double/Take
Player Winning Chances: 61.67% (G:31.02% B:2.38%) 61.78% (G:31.48% B:2.51%)
Opponent Winning Chances: 38.33% (G:6.71% B:0.30%) 38.22% (G:6.72% B:0.30%)
Cubeless Equities +0.497 +1.011
Cubeful Equities
No double:+0.685 (-0.002)±0.011 (+0.675..+0.696)
Double/Take:+0.688±0.015 (+0.672..+0.703)
Double/Pass:+1.000 (+0.312)
Best Cube action: Double / Take
Rollout details
5184 Games rolled with Variance Reduction.
Dice Seed: 40767767
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:60.2%
Take Decision confidence:100.0%
Duration: 3 hours 16 minutes






White is Player 2

score: 0
pip: 206
Unlimited Game
Jacoby Beaver
pip: 128
score: 0

Blue is Player 1
XGID=aAca--D-CB-BdC---b-bb-----:0:0:1:00:0:0:3:0:10
Variant 3: Blue's 21pt checker has covered his 11pt

Analyzed in Rollout No double Double/Take
Player Winning Chances: 59.09% (G:33.43% B:2.24%) 59.10% (G:33.18% B:2.16%)
Opponent Winning Chances: 40.91% (G:7.39% B:0.36%) 40.90% (G:7.51% B:0.35%)
Cubeless Equities +0.461 +0.914
Cubeful Equities
No double:+0.602±0.022 (+0.581..+0.624)
Double/Take:+0.554 (-0.049)±0.029 (+0.525..+0.582)
Double/Pass:+1.000 (+0.398)
Best Cube action: No double / Take
Percentage of wrong pass needed to make the double decision right: 9.8%
Rollout details
1296 Games rolled with Variance Reduction.
Dice Seed: 295289
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:99.6%
Take Decision confidence:100.0%
Duration: 17 minutes 40 seconds

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