• Holding game cube 3

    From Timothy Chow@21:1/5 to All on Thu Dec 28 10:01:32 2023
    XGID=-ab--BE-D---cD--ab-cab----:0:0:1:00:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O O | | O O O |
    | X O | | O O |
    | X | | O |
    | X | | |
    | | | |
    | |BAR| |
    | | | X |
    | X | | X |
    | O X | | X |
    | O X | | X X O |
    | O X | | X X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 124 O: 165 X-O: 0-0
    Cube: 1
    X on roll, cube action

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Sat Dec 30 10:31:49 2023
    XGID=-ab--BE-D---cD--ab-cab----:0:0:1:00:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O O | | O O O |
    | X O | | O O |
    | X | | O |
    | X | | |
    | | | |
    | |BAR| |
    | | | X |
    | X | | X |
    | O X | | X |
    | O X | | X X O |
    | O X | | X X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 124 O: 165 X-O: 0-0
    Cube: 1
    X on roll, cube action

    O has a deuce-point holding game with an extra checker back. I thought
    she was in dire straits, but the XG rollout below says it's not even
    a double. I have a tendency to underestimate the defender's chances in
    this sort of position. Below, instead of a variant, I have posted three different positions from my archives. In each case, I underestimated
    O's chances OTB.

    Analyzed in Rollout
    No double
    Player Winning Chances: 67.54% (G:18.67% B:0.95%)
    Opponent Winning Chances: 32.46% (G:6.03% B:0.23%)
    Double/Take
    Player Winning Chances: 67.39% (G:18.83% B:0.97%)
    Opponent Winning Chances: 32.61% (G:6.17% B:0.25%)

    Cubeful Equities:
    No double: +0.753
    Double/Take: +0.714 (-0.039)
    Double/Pass: +1.000 (+0.247)

    Best Cube action: No double / Take
    Percentage of wrong pass needed to make the double decision right: 13.8%

    Rollout:
    1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.015 (+0.738..+0.768)
    Confidence Double: ± 0.019 (+0.695..+0.733)

    eXtreme Gammon Version: 2.19.211.pre-release

    ----------
    Position 1
    ----------

    XGID=-ab-B-EBB---dB-A---cc-b-A-:0:0:1:00:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X X | | O O O X |
    | X | | O O O |
    | | | O O |
    | | | |
    | | | |
    | |BAR| |
    | | | X |
    | O | | X |
    | O | | X |
    | O X X | | X X O |
    | O X X | | X X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 133 O: 161 X-O: 0-0
    Cube: 1
    X on roll, cube action

    Analyzed in Rollout
    No double
    Player Winning Chances: 63.66% (G:18.99% B:1.07%)
    Opponent Winning Chances: 36.34% (G:9.33% B:0.27%)
    Double/Take
    Player Winning Chances: 63.78% (G:19.02% B:1.11%)
    Opponent Winning Chances: 36.22% (G:9.27% B:0.32%)

    Cubeful Equities:
    No double: +0.557
    Double/Take: +0.479 (-0.079)
    Double/Pass: +1.000 (+0.443)

    Best Cube action: No double / Take
    Percentage of wrong pass needed to make the double decision right: 15.1%

    Rollout:
    1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.015 (+0.542..+0.573)
    Confidence Double: ± 0.019 (+0.459..+0.498)

    eXtreme Gammon Version: 2.19.211.pre-release

    ----------
    Position 2
    ----------

    XGID=-BcB-BC-B---bB-Bb--bbbb---:0:0:1:00:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X X O | | O O O O |
    | X X O | | O O O O |
    | | | |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | | | X O |
    | O X | | X X X O X |
    | O X | | X X X O X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 108 O: 149 X-O: 0-0
    Cube: 1
    X on roll, cube action

    Analyzed in Rollout
    No double
    Player Winning Chances: 67.18% (G:15.72% B:0.53%)
    Opponent Winning Chances: 32.82% (G:5.95% B:0.24%)
    Double/Take
    Player Winning Chances: 67.09% (G:15.76% B:0.49%)
    Opponent Winning Chances: 32.91% (G:6.03% B:0.26%)

    Cubeful Equities:
    No double: +0.705
    Double/Take: +0.642 (-0.063)
    Double/Pass: +1.000 (+0.295)

    Best Cube action: No double / Take
    Percentage of wrong pass needed to make the double decision right: 17.7%

    Rollout:
    1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.012 (+0.693..+0.718)
    Confidence Double: ± 0.015 (+0.627..+0.657)

    eXtreme Gammon Version: 2.19.211.pre-release

    ----------
    Position 3
    ----------

    XGID=-abB-BB-B---cE--Ad-e----A-:0:0:1:00:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X X O | | O X |
    | X O | | O |
    | X O | | O |
    | X O | | O |
    | X | | O |
    | |BAR| |
    | | | |
    | | | |
    | O | | |
    | O X | | X X X O |
    | O X | | X X X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 149 O: 171 X-O: 0-0
    Cube: 1
    X on roll, cube action

    Analyzed in Rollout
    No double
    Player Winning Chances: 68.72% (G:21.08% B:1.25%)
    Opponent Winning Chances: 31.28% (G:6.66% B:0.24%)
    Double/Take
    Player Winning Chances: 68.55% (G:21.65% B:1.33%)
    Opponent Winning Chances: 31.45% (G:6.83% B:0.25%)

    Cubeful Equities:
    No double: +0.814 (-0.003)
    Double/Take: +0.817
    Double/Pass: +1.000 (+0.183)

    Best Cube action: Double / Take

    Rollout:
    1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.013 (+0.801..+0.827)
    Confidence Double: ± 0.016 (+0.801..+0.834)

    eXtreme Gammon Version: 2.19.211.pre-release

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)