• Action double

    From Timothy Chow@tchow12000@yahoo.com to rec.games.backgammon on Thu Jan 4 09:27:20 2024
    From Newsgroup: rec.games.backgammon

    XGID=-b-C-CE--A-Aa-a-Acbdb---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 X O O | | O O X |
    | O O | | O O |
    | O | | O |
    | | | O |
    | | | |
    | |BAR| |
    | | | X |
    | | | X |
    | | | X X X |
    | | | X X X O |
    | O X X | | X X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 114 O: 144 X-O: 0-0
    Cube: 1
    X on roll, cube action

    ---
    Tim Chow
    --- Synchronet 3.21b-Linux NewsLink 1.2
  • From Timothy Chow@tchow12000@yahoo.com to rec.games.backgammon on Sat Jan 6 17:18:02 2024
    From Newsgroup: rec.games.backgammon

    XGID=-b-C-CE--A-Aa-a-Acbdb---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 X O O | | O O X |
    | O O | | O O |
    | O | | O |
    | | | O |
    | | | |
    | |BAR| |
    | | | X |
    | | | X |
    | | | X X X |
    | | | X X X O |
    | O X X | | X X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 114 O: 144 X-O: 0-0
    Cube: 1
    X on roll, cube action

    Here I overestimated the potency of my hitting rolls. According to
    the XG rollout below, even after a favorable exchange such as rolling
    43 (played 24/21 16/12*) followed by a dance, X doesn't lose his market.

    Analyzed in Rollout
    No double
    Player Winning Chances: 50.99% (G:20.73% B:2.26%)
    Opponent Winning Chances: 49.01% (G:9.95% B:0.55%)
    Double/Take
    Player Winning Chances: 50.80% (G:20.74% B:2.28%)
    Opponent Winning Chances: 49.20% (G:9.97% B:0.57%)

    Cubeful Equities:
    No double: +0.156
    Double/Take: -0.135 (-0.290)
    Double/Pass: +1.000 (+0.844)

    Best Cube action: No double / Take
    Percentage of wrong pass needed to make the double decision right: 25.6%

    Rollout:
    1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: -# 0.015 (+0.141..+0.170)
    Confidence Double: -# 0.020 (-0.155..-0.114)

    eXtreme Gammon Version: 2.19.211.pre-release

    -------------------------
    After 24/21 16/12*, dance
    -------------------------

    XGID=ab-C-CE--A-AA-a--cbdbA----: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 |
    | | | O |
    | | | |
    | |BAR| |
    | | O | X |
    | | | 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: 107 O: 156 X-O: 0-0
    Cube: 1
    X on roll, cube action

    Analyzed in Rollout
    No double
    Player Winning Chances: 65.82% (G:30.09% B:3.76%)
    Opponent Winning Chances: 34.18% (G:4.24% B:0.21%)
    Double/Take
    Player Winning Chances: 64.94% (G:30.25% B:4.15%)
    Opponent Winning Chances: 35.06% (G:4.36% B:0.23%)

    Cubeful Equities:
    No double: +0.801 (-0.097)
    Double/Take: +0.898
    Double/Pass: +1.000 (+0.102)

    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: -# 0.012 (+0.790..+0.813)
    Confidence Double: -# 0.019 (+0.879..+0.917)

    eXtreme Gammon Version: 2.19.211.pre-release

    ---
    Tim Chow
    --- Synchronet 3.21b-Linux NewsLink 1.2