• 5pt or hit?

    From Timothy Chow@tchow12000@yahoo.com to rec.games.backgammon on Mon Jan 29 09:11:21 2024
    From Newsgroup: rec.games.backgammon

    XGID=-b----DAC---cCa--b-dbAa-BA:1:1:1:11:0:0:0:0:10

    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 X |
    | X O | | O O X |
    | X | | O |
    | | | O |
    | | X | |
    | |BAR| |
    | | | |
    | | | X |
    | O X | | X | +---+
    | O X | | X O | | 2 |
    | O X X | | X O | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 188 O: 151 X-O: 0-0
    Cube: 2, X own cube
    X to play 11

    ---
    Tim Chow
    --- Synchronet 3.21b-Linux NewsLink 1.2
  • From Timothy Chow@tchow12000@yahoo.com to rec.games.backgammon on Sat Feb 3 18:10:10 2024
    From Newsgroup: rec.games.backgammon

    XGID=-b----DAC---cCa--b-dbAa-BA:1:1:1:11:0:0:0:0:10

    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 X |
    | X O | | O O X |
    | X | | O |
    | | | O |
    | | X | |
    | |BAR| |
    | | | |
    | | | X |
    | O X | | X | +---+
    | O X | | X O | | 2 |
    | O X X | | X O | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 188 O: 151 X-O: 0-0
    Cube: 2, X own cube
    X to play 11

    Bar/24 is forced and 8/7 is obvious; the question is whether to hit
    with 24/22* or make the 5pt with 6/5(2). This type of decision can
    go either way, and has to be judged on a case-by-case basis. Here,
    X is well behind in the pip count and wants to prime O, and 6/5(2)
    does a great job of that. XG says the decision is not close. I have
    given two variants below in which XG says the decision is closer,
    though even in these variants, XG still favors 6/5(2).

    1. Rollout-| Bar/24 8/7 6/5(2) eq:+0.129
    Player: 50.76% (G:13.82% B:0.79%)
    Opponent: 49.24% (G:22.68% B:2.67%)
    Confidence: -#0.015 (+0.115..+0.144) - [100.0%]

    2. Rollout-| Bar/22* 8/7 eq:+0.032 (-0.098)
    Player: 46.12% (G:12.10% B:0.74%)
    Opponent: 53.88% (G:19.29% B:1.40%)
    Confidence: -#0.014 (+0.017..+0.046) - [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 1
    ---------

    XGID=-b----DAC---cC--ab-ccAa-BA:1:1:1:11:0:0:0:0:10

    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 X |
    | X O | | O O X |
    | X | | O O |
    | | | |
    | | X | |
    | |BAR| |
    | | | |
    | | | X |
    | O X | | X | +---+
    | O X | | X O | | 2 |
    | O X X | | X O | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 188 O: 148 X-O: 0-0
    Cube: 2, X own cube
    X to play 11

    1. Rollout-| Bar/24 8/7 6/5(2) eq:+0.030
    Player: 48.23% (G:12.81% B:0.81%)
    Opponent: 51.77% (G:24.90% B:3.48%)
    Confidence: -#0.016 (+0.015..+0.046) - [99.1%]

    2. Rollout-| Bar/22* 8/7 eq:+0.006 (-0.024)
    Player: 45.58% (G:12.21% B:0.75%)
    Opponent: 54.42% (G:20.58% B:1.71%)
    Confidence: -#0.012 (-0.006..+0.018) - [0.9%]

    -| 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 2
    ---------

    XGID=-a-a--DAC---cCa--b-dbAa-BA:1:1:1:11:0:0:0:0:10

    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 X |
    | X O | | O O X |
    | X | | O |
    | | | O |
    | | X | |
    | |BAR| |
    | | | |
    | | | X |
    | O X | | X | +---+
    | O X | | X | | 2 |
    | O X X | | X O O | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 188 O: 149 X-O: 0-0
    Cube: 2, X own cube
    X to play 11

    1. Rollout-| Bar/24 8/7 6/5(2) eq:-0.004
    Player: 46.97% (G:11.85% B:0.71%)
    Opponent: 53.03% (G:24.36% B:3.03%)
    Confidence: -#0.014 (-0.019..+0.010) - [99.9%]

    2. Rollout-| Bar/22* 8/7 eq:-0.034 (-0.029)
    Player: 44.06% (G:10.84% B:0.56%)
    Opponent: 55.94% (G:19.60% B:1.46%)
    Confidence: -#0.012 (-0.046..-0.022) - [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

    ---
    Tim Chow
    --- Synchronet 3.21b-Linux NewsLink 1.2