• Pay now? Holding game with extra checker back

    From Timothy Chow@21:1/5 to All on Mon Dec 4 09:23:54 2023
    XGID=-BBa--CbAC--cD-----dbab---:0:0:1:64:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X | | O O O O |
    | X | | O O O |
    | X | | O |
    | X | | O |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | O X | | X |
    | O X O | | X X X |
    | O X X O | | X O X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 111 O: 141 X-O: 0-0
    Cube: 1
    X to play 64

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Wed Dec 6 08:26:25 2023
    XGID=-BBa--CbAC--cD-----dbab---:0:0:1:64:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X | | O O O O |
    | X | | O O O |
    | X | | O |
    | X | | O |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | O X | | X |
    | O X O | | X X X |
    | O X X O | | X O X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 111 O: 141 X-O: 0-0
    Cube: 1
    X to play 64

    This is not quite your usual pay-now-or-later problem, but similar
    principles apply. The blot in O's board gives X a license to kill.

    1. Rollout¹ 13/3* eq:+0.428
    Player: 59.97% (G:22.42% B:0.66%)
    Opponent: 40.03% (G:13.03% B:0.42%)
    Confidence: ±0.012 (+0.416..+0.441) - [100.0%]

    2. Rollout¹ 13/9 8/2 eq:+0.350 (-0.079)
    Player: 58.13% (G:15.22% B:0.21%)
    Opponent: 41.87% (G:10.02% B:0.30%)
    Confidence: ±0.015 (+0.335..+0.364) - [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=-BBa--CbAC--cD-----dc-b---:0:0:1:64:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X | | O O O |
    | X | | O O O |
    | X | | O O |
    | X | | O |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | O X | | X |
    | O X O | | X X X |
    | O X X O | | X O X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 111 O: 142 X-O: 0-0
    Cube: 1
    X to play 64

    1. Rollout¹ 13/3* eq:+0.407
    Player: 59.85% (G:18.79% B:0.32%)
    Opponent: 40.15% (G:12.32% B:0.36%)
    Confidence: ±0.012 (+0.396..+0.419) - [94.2%]

    2. Rollout¹ 13/9 8/2 eq:+0.394 (-0.013)
    Player: 59.30% (G:16.21% B:0.26%)
    Opponent: 40.70% (G:9.63% B:0.28%)
    Confidence: ±0.012 (+0.382..+0.406) - [5.8%]

    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

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to atila...@gmail.com on Thu Dec 7 09:53:36 2023
    On 12/6/2023 6:03 PM, atila...@gmail.com wrote:
    I think the fact that he only has three points is more important than the blot. The ranking changes when you make the 2 points with the blot on the 4 and the spare on the 6.

    If you're saying that if O had four home-board points then that
    would induce us to play safe, then yes, I agree!

    ---
    Tim Chow

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