• Blitz versus prime cube, sort of

    From Timothy Chow@21:1/5 to All on Mon Aug 16 23:11:58 2021
    XGID=aB-BBBB----AbB-Aab-cbb-bA-:1:1:1:00:0:0:0:0:10

    X:Player 2 O:Player 1
    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 O X |
    | X O | | O O O O |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | O | |
    | | | |
    | | | | +---+
    | O | | X X X X X | | 2 |
    | O X | | X X X X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 114 O: 116 X-O: 0-0
    Cube: 2, X own cube
    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 Wed Aug 18 08:49:17 2021
    XGID=aB-BBBB----AbB-Aab-cbb-bA-:1:1:1:00:0:0:0:0:10

    X:Player 2 O:Player 1
    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 O X |
    | X O | | O O O O |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | O | |
    | | | |
    | | | | +---+
    | O | | X X X X X | | 2 |
    | O X | | X X X X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 114 O: 116 X-O: 0-0
    Cube: 2, X own cube
    X on roll, cube action

    O has a decent offensive structure of her own, which gives her
    reasonable winning chances, but according to XG, this is a big
    pass. However, see the variant below, where I have shifted O's
    checkers from her 2pt to her 3pt.

    Analyzed in Rollout
    No redouble
    Player Winning Chances: 70.79% (G:34.21% B:0.51%)
    Opponent Winning Chances: 29.21% (G:7.16% B:0.31%)
    Redouble/Take
    Player Winning Chances: 71.53% (G:34.70% B:0.54%)
    Opponent Winning Chances: 28.47% (G:7.75% B:0.37%)

    Cubeful Equities:
    No redouble: +0.861 (-0.139)
    Redouble/Take: +1.204 (+0.204)
    Redouble/Pass: +1.000

    Best Cube action: Redouble / Pass

    Rollout:
    5184 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.003 (+0.858..+0.864)
    Confidence Double: ± 0.007 (+1.198..+1.211)

    eXtreme Gammon Version: 2.19.207.pre-release

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

    XGID=aB-BBBB----AbB-Aab-cbbb-A-:1:1:1:00:0:0:0:0:10

    X:Player 2 O:Player 1
    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 O X |
    | X O | | O O O O |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | O | |
    | | | |
    | | | | +---+
    | O | | X X X X X | | 2 |
    | O X | | X X X X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 114 O: 118 X-O: 0-0
    Cube: 2, X own cube
    X on roll, cube action

    Analyzed in Rollout
    No redouble
    Player Winning Chances: 66.76% (G:28.17% B:0.33%)
    Opponent Winning Chances: 33.24% (G:7.09% B:0.31%)
    Redouble/Take
    Player Winning Chances: 68.19% (G:27.80% B:0.33%)
    Opponent Winning Chances: 31.81% (G:7.41% B:0.38%)

    Cubeful Equities:
    No redouble: +0.805 (-0.114)
    Redouble/Take: +0.918
    Redouble/Pass: +1.000 (+0.082)

    Best Cube action: Redouble / Take

    Rollout:
    1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.006 (+0.799..+0.811)
    Confidence Double: ± 0.016 (+0.903..+0.934)

    eXtreme Gammon Version: 2.19.207.pre-release

    ---
    Tim Chow

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