• Make the 9pt or make the 5pt?

    From Timothy Chow@21:1/5 to All on Tue Jan 4 23:52:29 2022
    XGID=-aa---EBBA--bC----cd-bBb--:0:0:1:43:0:0:0:0:10

    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 |
    | X O | | O O X O |
    | X O | | O |
    | | | O |
    | | | |
    | |BAR| |
    | | | X |
    | | | X |
    | | | X |
    | O X X | | X |
    | O X X X | | X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 152 O: 130 X-O: 0-0
    Cube: 1
    X to play 43

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Fri Jan 7 00:05:13 2022
    XGID=-aa---EBBA--bC----cd-bBb--:0:0:1:43:0:0:0:0:10

    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 |
    | X O | | O O X O |
    | X O | | O |
    | | | O |
    | | | |
    | |BAR| |
    | | | X |
    | | | X |
    | | | X |
    | O X X | | X |
    | O X X X | | X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 152 O: 130 X-O: 0-0
    Cube: 1
    X to play 43

    Despite the "tricky" subject line, I think the more interesting question
    here is how to play the 3 after 13/9. At first glance, 13/10 might seem
    to give O a lot fewer hitting rolls, but that's not true because of all
    the indirect shots. Keeping the midpoint maintains some connectivity
    with X's back checkers, and unstacks the heavy 6pt.

    1. Rollout¹ 13/9 6/3 eq:+0.048
    Player: 52.38% (G:11.97% B:0.47%)
    Opponent: 47.62% (G:15.39% B:0.42%)
    Confidence: ±0.015 (+0.033..+0.062) - [100.0%]

    2. Rollout¹ 13/10 13/9 eq:-0.042 (-0.089)
    Player: 50.13% (G:11.38% B:0.53%)
    Opponent: 49.87% (G:16.02% B:0.44%)
    Confidence: ±0.016 (-0.058..-0.026) - [0.0%]

    3. Rollout¹ 9/5 8/5 eq:-0.095 (-0.143)
    Player: 47.87% (G:12.63% B:0.43%)
    Opponent: 52.13% (G:14.52% B:0.45%)
    Confidence: ±0.013 (-0.108..-0.083) - [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

    ---
    Tim Chow

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