• Make the 5pt?

    From Timothy Chow@tchow12000@yahoo.com to rec.games.backgammon on Sun Mar 3 18:22:40 2024
    From Newsgroup: rec.games.backgammon

    XGID=-a--b-EBC---bC---c-d-cB---:0:0:1:21:0:0:0:0:10

    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 |
    | X O | | O O X |
    | X O | | O O |
    | | | O |
    | | | |
    | |BAR| |
    | | | X |
    | | | X |
    | X | | X |
    | O X X | | X O |
    | O X X | | X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 151 O: 152 X-O: 0-0
    Cube: 1
    X to play 21

    ---
    Tim Chow
    --- Synchronet 3.21b-Linux NewsLink 1.2
  • From Timothy Chow@tchow12000@yahoo.com to rec.games.backgammon on Sun Mar 10 18:16:32 2024
    From Newsgroup: rec.games.backgammon

    XGID=-a--b-EBC---bC---c-d-cB---:0:0:1:21:0:0:0:0:10

    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 |
    | X O | | O O X |
    | X O | | O O |
    | | | O |
    | | | |
    | |BAR| |
    | | | X |
    | | | X |
    | X | | X |
    | O X X | | X O |
    | O X X | | X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 151 O: 152 X-O: 0-0
    Cube: 1
    X to play 21

    It's quite common for 7/5 6/5 to be the best way to play a 21, even if
    it volunteers a direct shot. Here, though, I balked, since 7/5 6/5
    volunteers a *double* direct shot. However, XG says it's a blunder to
    play anything else. In part, O's relatively weak offensive structure
    allows X to play boldly; see the variant for comparison.

    1. Rollout-| 7/5 6/5 eq:+0.013
    Player: 50.87% (G:12.26% B:0.46%)
    Opponent: 49.13% (G:12.90% B:0.44%)
    Confidence: -#0.013 (0.000..+0.026) - [100.0%]

    2. Rollout-| 6/3 eq:-0.074 (-0.087)
    Player: 48.69% (G:10.54% B:0.44%)
    Opponent: 51.31% (G:13.40% B:0.43%)
    Confidence: -#0.013 (-0.087..-0.061) - [0.0%]

    3. Rollout-| 13/11 8/7 eq:-0.088 (-0.101)
    Player: 48.43% (G:10.32% B:0.42%)
    Opponent: 51.57% (G:12.71% B:0.44%)
    Confidence: -#0.013 (-0.101..-0.075) - [0.0%]

    -| 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=-a--b-EBC---bC---c-cbbB---:0:0:1:21:0:0:0:0:10

    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 |
    | X O | | O O O X |
    | X O | | O |
    | | | |
    | | | |
    | |BAR| |
    | | | X |
    | | | X |
    | X | | X |
    | O X X | | X O |
    | O X X | | X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 151 O: 152 X-O: 0-0
    Cube: 1
    X to play 21

    1. Rollout-| 7/5 6/5 eq:-0.383
    Player: 40.67% (G:9.11% B:0.38%)
    Opponent: 59.33% (G:15.49% B:0.63%)
    Confidence: -#0.007 (-0.391..-0.376) - [100.0%]

    2. Rollout-| 13/11 8/7 eq:-0.408 (-0.024)
    Player: 40.17% (G:7.81% B:0.31%)
    Opponent: 59.83% (G:14.16% B:0.55%)
    Confidence: -#0.007 (-0.415..-0.400) - [0.0%]

    3. Rollout-# 6/3 eq:-0.432 (-0.049)
    Player: 39.51% (G:7.73% B:0.29%)
    Opponent: 60.49% (G:14.47% B:0.55%)
    Confidence: -#0.013 (-0.445..-0.419) - [0.0%]

    -| 5184 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    -# 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
    --- Synchronet 3.21b-Linux NewsLink 1.2