• Move both back checkers?

    From Timothy Chow@21:1/5 to All on Sat Dec 4 10:23:49 2021
    XGID=-CDBBB----------b--cBbcbc-:1:1:1:53:0:0:0:0:10

    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-+
    | O | | O X O O O O |
    | O | | O X O O O O |
    | | | O O O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | X |
    | | | X X | +---+
    | | | X X X X X | | 2 |
    | | | X X X X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 75 O: 60 X-O: 0-0
    Cube: 2, X own cube
    X to play 53

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Mon Dec 6 09:33:19 2021
    XGID=-CDBBB----------b--cBbcbc-:1:1:1:53:0:0:0:0:10

    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-+
    | O | | O X O O O O |
    | O | | O X O O O O |
    | | | O O O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | X |
    | | | X X | +---+
    | | | X X X X X | | 2 |
    | | | X X X X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 75 O: 60 X-O: 0-0
    Cube: 2, X own cube
    X to play 53

    This one requires weighing X's racing vig versus his shot vig. See
    the two variants below for comparison.

    One comment is that it can be easy to attach too much importance to
    the chances that X will *get* hit. Of course X would prefer not to
    be hit, but since X is losing, increased contact generally favors X.
    So X shouldn't be focusing primarily on how many shots he's leaving,
    but on the chances he'll get a shot versus the chances he'll be able
    to win the race.

    1. Rollout¹ 20/12 eq:-0.563
    Player: 19.63% (G:0.45% B:0.00%)
    Opponent: 80.37% (G:2.16% B:0.01%)
    Confidence: ±0.003 (-0.567..-0.560) - [100.0%]

    2. Rollout¹ 20/15 5/2 eq:-0.706 (-0.142)
    Player: 14.45% (G:0.14% B:0.00%)
    Opponent: 85.55% (G:4.52% B:0.03%)
    Confidence: ±0.004 (-0.709..-0.702) - [0.0%]

    3. Rollout¹ 20/17 20/15 eq:-0.709 (-0.146)
    Player: 13.26% (G:0.01% B:0.00%)
    Opponent: 86.74% (G:1.51% B:0.01%)
    Confidence: ±0.003 (-0.712..-0.707) - [0.0%]

    4. Rollout¹ 20/15 4/1 eq:-0.726 (-0.163)
    Player: 13.70% (G:0.14% B:0.00%)
    Opponent: 86.30% (G:4.66% B:0.03%)
    Confidence: ±0.003 (-0.730..-0.723) - [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

    ---------
    Variant 1
    ---------

    XGID=-CDBBB----------c--cBbbbc-:1:1:1:53:0:0:0:0:10

    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-+
    | O | | O X O O O O |
    | O | | O X O O O O |
    | O | | O O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | X |
    | | | X X | +---+
    | | | X X X X X | | 2 |
    | | | X X X X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 75 O: 66 X-O: 0-0
    Cube: 2, X own cube
    X to play 53

    1. Rollout¹ 20/17 20/15 eq:-0.451
    Player: 23.95% (G:0.06% B:0.00%)
    Opponent: 76.05% (G:1.43% B:0.01%)
    Confidence: ±0.004 (-0.455..-0.447) - [100.0%]

    2. Rollout¹ 20/12 eq:-0.472 (-0.021)
    Player: 23.49% (G:0.55% B:0.01%)
    Opponent: 76.51% (G:2.34% B:0.02%)
    Confidence: ±0.004 (-0.476..-0.468) - [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

    ---------
    Variant 2
    ---------

    XGID=-CDBBB----------b-acBbbbc-:1:1:1:53:0:0:0:0:10

    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-+
    | O O | | O X O O O O |
    | O | | O X O O O O |
    | | | O O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | X |
    | | | X X | +---+
    | | | X X X X X | | 2 |
    | | | X X X X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 75 O: 64 X-O: 0-0
    Cube: 2, X own cube
    X to play 53

    1. Rollout¹ 20/17 20/15 eq:-0.558
    Player: 19.71% (G:0.10% B:0.00%)
    Opponent: 80.29% (G:1.63% B:0.01%)
    Confidence: ±0.004 (-0.562..-0.554) - [100.0%]

    2. Rollout¹ 20/12 eq:-0.587 (-0.029)
    Player: 19.15% (G:0.72% B:0.01%)
    Opponent: 80.85% (G:3.50% B:0.02%)
    Confidence: ±0.003 (-0.590..-0.584) - [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)