• From the same game as the last problem

    From Timothy Chow@21:1/5 to All on Fri Dec 15 09:41:57 2023
    XGID=--BaBDCaBB-------------cj-:1:-1:1:64:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | | | O O | +---+
    | | | O O | | 2 |
    | | | O O | +---+
    | | | O |
    | | | 10 |
    | |BAR| |
    | | | |
    | | | X |
    | | | X X |
    | X X | | X X X X |
    | X X O | | X X X O X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 84 O: 56 X-O: 0-0
    Cube: 2, O own cube
    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 Sun Dec 17 09:31:36 2023
    XGID=--BaBDCaBB-------------cj-:1:-1:1:64:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | | | O O | +---+
    | | | O O | | 2 |
    | | | O O | +---+
    | | | O |
    | | | 10 |
    | |BAR| |
    | | | |
    | | | X |
    | | | X X |
    | X X | | X X X X |
    | X X O | | X X X O X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 84 O: 56 X-O: 0-0
    Cube: 2, O own cube
    X to play 64

    Here again, hitting 9/3* is clear, but I was startled to see that
    XG favors 5/1 with the 4. Does X *want* to get hit? No, but he *does*
    want to keep as many builders as possible for the 3pt. See the variant
    below in which a spare has been shifted from the 5pt to the 6pt.

    1. Rollout¹ 9/3* 5/1 eq:+0.942
    Player: 84.69% (G:29.81% B:0.88%)
    Opponent: 15.31% (G:2.02% B:0.00%)
    Confidence: ±0.005 (+0.936..+0.947) - [100.0%]

    2. Rollout¹ 9/3* 6/2 eq:+0.869 (-0.073)
    Player: 84.20% (G:22.92% B:0.61%)
    Opponent: 15.80% (G:1.03% B:0.00%)
    Confidence: ±0.005 (+0.864..+0.874) - [0.0%]

    3. Rollout¹ 9/3* 8/4 eq:+0.845 (-0.097)
    Player: 82.61% (G:25.06% B:0.71%)
    Opponent: 17.39% (G:1.95% B:0.00%)
    Confidence: ±0.005 (+0.840..+0.850) - [0.0%]

    4. Rollout¹ 9/5 9/3* eq:+0.842 (-0.100)
    Player: 84.19% (G:20.56% B:0.54%)
    Opponent: 15.81% (G:0.62% B:0.00%)
    Confidence: ±0.005 (+0.837..+0.847) - [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=--BaBCDaBB-------------cj-:1:-1:1:64:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | | | O O | +---+
    | | | O O | | 2 |
    | | | O O | +---+
    | | | O |
    | | | 10 |
    | |BAR| |
    | | | |
    | | | X |
    | | | X X |
    | X X | | X X X X |
    | X X O | | X X X O X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 85 O: 56 X-O: 0-0
    Cube: 2, O own cube
    X to play 64

    1. Rollout¹ 9/3* 6/2 eq:+0.926
    Player: 86.02% (G:24.76% B:0.65%)
    Opponent: 13.98% (G:0.98% B:0.00%)
    Confidence: ±0.005 (+0.921..+0.931) - [100.0%]

    2. Rollout¹ 9/3* 5/1 eq:+0.899 (-0.027)
    Player: 83.24% (G:28.85% B:0.78%)
    Opponent: 16.76% (G:1.88% B:0.00%)
    Confidence: ±0.005 (+0.894..+0.903) - [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

    ---
    Tim Chow

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