• Scrambling home with 8 checkers off

    From Timothy Chow@21:1/5 to All on Sat Dec 30 10:34:37 2023
    XGID=-C-C------a-aa-------ccccA:1:-1:1:51:0:0:0:0:10

    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 | +---+
    | | | O O O O | | 2 |
    | | | O O O O | +---+
    | | | |
    | | X | |
    | |BAR| |
    | | | | X
    | | | | X
    | | | X X | X X
    | | | X X | X X
    | O O | | X X | X X
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 37 O: 70 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 Mon Jan 1 11:23:34 2024
    XGID=-C-C------a-aa-------ccccA:1:-1:1:51:0:0:0:0:10

    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 | +---+
    | | | O O O O | | 2 |
    | | | O O O O | +---+
    | | | |
    | | X | |
    | |BAR| |
    | | | | X
    | | | | X
    | | | X X | X X
    | | | X X | X X
    | O O | | X X | X X
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 37 O: 70 X-O: 0-0
    Cube: 2, O own cube
    X to play 51

    Do you step up to the 19pt, exposing yourself to 24 shots instead of 15?
    Or do you hang back on the 20pt, creating a new blot in your home board?
    The new blot is not immediately exposed to a direct shot, but it could
    get hit in the course of a blot-hitting contest.

    XG opts to step up. This kind of decision can be delicate, as the
    variant below illustrates.

    1. Rollout¹ Bar/19 eq:+0.882
    Player: 90.83% (G:9.35% B:0.24%)
    Opponent: 9.17% (G:0.00% B:0.00%)
    Confidence: ±0.003 (+0.879..+0.884) - [100.0%]

    2. Rollout¹ Bar/20 3/2 eq:+0.808 (-0.074)
    Player: 87.54% (G:10.12% B:0.23%)
    Opponent: 12.46% (G:0.00% B:0.00%)
    Confidence: ±0.004 (+0.804..+0.812) - [0.0%]

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

    eXtreme Gammon Version: 2.19.211.pre-release

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

    XGID=-C--C-----a-aa-------ccccA:1:-1:1:52:0:0:0:0:10

    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 | +---+
    | | | O O O O | | 2 |
    | | | O O O O | +---+
    | | | |
    | | X | |
    | |BAR| |
    | | | |
    | | | |
    | | | X X |
    | | | X X |
    | O O | | X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 40 O: 70 X-O: 0-0
    Cube: 2, O own cube
    X to play 52

    1. Rollout¹ Bar/20 4/2 eq:+0.794
    Player: 87.41% (G:9.04% B:0.23%)
    Opponent: 12.59% (G:0.00% B:0.00%)
    Confidence: ±0.003 (+0.791..+0.798) - [92.3%]

    2. Rollout¹ Bar/18 eq:+0.791 (-0.003)
    Player: 88.37% (G:6.40% B:0.15%)
    Opponent: 11.63% (G:0.00% B:0.00%)
    Confidence: ±0.003 (+0.788..+0.794) - [7.7%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves and cube decisions: XG Roller+
    Search interval: Huge

    eXtreme Gammon Version: 2.19.211.pre-release

    ---
    Tim Chow

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