• Hit or clean up a blot?

    From Timothy Chow@21:1/5 to All on Thu Nov 18 08:22:21 2021
    XGID=-a--CaCABB--dA---bbcB-b--A:1:-1:1:51:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O O | | O X O | +---+
    | O O | | O X O | | 2 |
    | | | O | +---+
    | | | |
    | | X | |
    | |BAR| |
    | | | |
    | O | | |
    | O | | X X |
    | O X X | | X X |
    | O X X X | | X O X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 149 O: 150 X-O: 0-0
    Cube: 2, O own cube
    X to play 51

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Sat Nov 20 08:53:22 2021
    XGID=-a--CaCABB--dA---bbcB-b--A:1:-1:1:51:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O O | | O X O | +---+
    | O O | | O X O | | 2 |
    | | | O | +---+
    | | | |
    | | X | |
    | |BAR| |
    | | | |
    | O | | |
    | O | | X X |
    | O X X | | X X |
    | O X X X | | X O X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 149 O: 150 X-O: 0-0
    Cube: 2, O own cube
    X to play 51

    Magriel's safe/bold criteria point toward a bold play, since X has more checkers back and has an anchor while O does not. Nevertheless, the
    rollout below favors the safe play 7/6 over the bold hit 6/5*. Part of
    the reason is that 6/5* uses the last spare on X's 6pt; see the variant
    below. But also, X is slightly ahead in the pip count and 6/5* would
    leave three blots lying around that O could potentially pick up.

    1. Rollout¹ Bar/20 7/6 eq:-0.243
    Player: 47.14% (G:10.63% B:0.28%)
    Opponent: 52.86% (G:7.60% B:0.30%)
    Confidence: ±0.009 (-0.253..-0.234) - [100.0%]

    2. Rollout¹ Bar/20 8/7 eq:-0.326 (-0.083)
    Player: 44.93% (G:10.18% B:0.33%)
    Opponent: 55.07% (G:9.79% B:0.36%)
    Confidence: ±0.011 (-0.336..-0.315) - [0.0%]

    3. Rollout¹ Bar/20 6/5* eq:-0.339 (-0.096)
    Player: 45.71% (G:13.19% B:0.43%)
    Opponent: 54.29% (G:15.93% B:0.68%)
    Confidence: ±0.012 (-0.351..-0.326) - [0.0%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.207.pre-release

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

    XGID=-a--BaDABB--dA---bbcB-b--A:1:-1:1:51:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O O | | O X O | +---+
    | O O | | O X O | | 2 |
    | | | O | +---+
    | | | |
    | | X | |
    | |BAR| |
    | | | |
    | O | | X |
    | O | | X |
    | O X X | | X X |
    | O X X X | | X O X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 151 O: 150 X-O: 0-0
    Cube: 2, O own cube
    X to play 51

    1. Rollout¹ Bar/20 6/5* eq:-0.270
    Player: 47.75% (G:13.78% B:0.52%)
    Opponent: 52.25% (G:14.87% B:0.66%)
    Confidence: ±0.012 (-0.283..-0.258) - [66.2%]

    2. Rollout¹ Bar/20 7/6 eq:-0.274 (-0.003)
    Player: 46.27% (G:10.11% B:0.29%)
    Opponent: 53.73% (G:7.89% B:0.30%)
    Confidence: ±0.010 (-0.283..-0.264) - [33.8%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.207.pre-release

    ---
    Tim Chow

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