• Prime vs. prime cube action

    From Timothy Chow@21:1/5 to All on Thu Nov 10 07:45:48 2022
    XGID=a-aADBBBB--a----cbbbbB--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-+
    | O O O | | O O X O |
    | O O O | | O O X |
    | O | | |
    | | | |
    | | | |
    | |BAR| |
    | | O | |
    | | | X |
    | | | X |
    | X X | | X X X |
    | O X X | | X X X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 113 O: 142 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 Nov 12 18:41:06 2022
    XGID=a-aADBBBB--a----cbbbbB--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-+
    | O O O | | O O X O |
    | O O O | | O O X |
    | O | | |
    | | | |
    | | | |
    | |BAR| |
    | | O | |
    | | | X |
    | | | X |
    | X X | | X X X |
    | O X X | | X X X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 113 O: 142 X-O: 0-0
    Cube: 1
    X on roll, cube action

    X's forward position is inflexible, and he might not cover his blot,
    so at first glance this might look like ND/T. However, O's position
    has its own weaknesses, with a misplaced checker on her 1pt and a
    blot in the outfield that jacks up X's gammon wins. According to the
    rollout, this is a big double and a big take. But see also the variant.

    Analyzed in Rollout
    No double
    Player Winning Chances: 63.04% (G:37.77% B:1.63%)
    Opponent Winning Chances: 36.96% (G:7.12% B:0.29%)
    Double/Take
    Player Winning Chances: 63.15% (G:38.36% B:1.57%)
    Opponent Winning Chances: 36.85% (G:7.33% B:0.32%)

    Cubeful Equities:
    No double: +0.723 (-0.125)
    Double/Take: +0.848
    Double/Pass: +1.000 (+0.152)

    Best Cube action: Double / Take

    Rollout:
    1296 Games rolled with Variance Reduction.
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.014 (+0.709..+0.737)
    Confidence Double: ± 0.022 (+0.827..+0.870)

    eXtreme Gammon Version: 2.19.211.pre-release

    -------
    Variant
    -------

    XGID=a-aADBBBB--a----cbbbcB----: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-+
    | O O O | | O O X |
    | O O O | | O O X |
    | O | | O |
    | | | |
    | | | |
    | |BAR| |
    | | O | |
    | | | X |
    | | | X |
    | X X | | X X X |
    | O X X | | X X X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 113 O: 146 X-O: 0-0
    Cube: 1
    X on roll, cube action

    Analyzed in Rollout
    No double
    Player Winning Chances: 57.85% (G:35.76% B:1.33%)
    Opponent Winning Chances: 42.15% (G:8.22% B:0.37%)
    Double/Take
    Player Winning Chances: 58.13% (G:36.16% B:1.37%)
    Opponent Winning Chances: 41.87% (G:8.32% B:0.37%)

    Cubeful Equities:
    No double: +0.515 (-0.002)
    Double/Take: +0.517
    Double/Pass: +1.000 (+0.483)

    Best Cube action: Double / Take

    Rollout:
    2592 Games rolled with Variance Reduction.
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.017 (+0.499..+0.532)
    Confidence Double: ± 0.020 (+0.498..+0.537)

    eXtreme Gammon Version: 2.19.211.pre-release

    ---
    Tim Chow

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