• Follow-up to cube problem

    From Timothy Chow@21:1/5 to All on Tue May 30 08:26:44 2023
    This is the checker play that I faced after the 3-away/7-away cube
    decision I just posted about. Note that I've changed the score to
    money. It turns out not to affect the checker play very much.

    XGID=-ABBBBBa-----Ba----cBb--h-: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-+
    | X O | | O X O O | +---+
    | X | | O X O O | | 2 |
    | | | O O | +---+
    | | | O |
    | | | 8 |
    | |BAR| |
    | | | |
    | | | |
    | | | |
    | | | X X X X X |
    | O | | X X X X X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 107 O: 63 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 Thu Jun 1 07:47:37 2023
    XGID=-ABBBBBa-----Ba----cBb--h-: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-+
    | X O | | O X O O | +---+
    | X | | O X O O | | 2 |
    | | | O O | +---+
    | | | O |
    | | | 8 |
    | |BAR| |
    | | | |
    | | | |
    | | | |
    | | | X X X X X |
    | O | | X X X X X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 107 O: 63 X-O: 0-0
    Cube: 2, O own cube
    X to play 64

    I wanted to go directly for a six-prime and/or a closeout, so I hit with
    13/7*. But a better strategy is to increase my chances of hitting both
    blots.

    1. Rollout¹ 20/14* 14/10 eq:+1.222
    Player: 92.57% (G:39.63% B:1.43%)
    Opponent: 7.43% (G:1.61% B:0.01%)
    Confidence: ±0.005 (+1.217..+1.227) - [99.8%]

    2. Rollout¹ 20/16 20/14* eq:+1.211 (-0.011)
    Player: 92.53% (G:39.17% B:1.41%)
    Opponent: 7.47% (G:1.58% B:0.00%)
    Confidence: ±0.005 (+1.205..+1.216) - [0.2%]

    3. Rollout¹ 20/14* 13/9 eq:+1.141 (-0.080)
    Player: 90.62% (G:38.69% B:1.40%)
    Opponent: 9.38% (G:3.41% B:0.03%)
    Confidence: ±0.006 (+1.136..+1.147) - [0.0%]

    4. Rollout¹ 13/7* 7/3 eq:+1.141 (-0.081)
    Player: 90.81% (G:36.57% B:1.26%)
    Opponent: 9.19% (G:2.15% B:0.03%)
    Confidence: ±0.005 (+1.136..+1.145) - [0.0%]

    5. Rollout¹ 13/9 13/7* eq:+1.109 (-0.113)
    Player: 90.35% (G:36.09% B:1.20%)
    Opponent: 9.65% (G:3.48% B:0.01%)
    Confidence: ±0.006 (+1.103..+1.115) - [0.0%]

    6. Rollout¹ 20/16 13/7* eq:+1.089 (-0.132)
    Player: 90.01% (G:36.41% B:1.20%)
    Opponent: 9.99% (G:5.00% B:0.07%)
    Confidence: ±0.006 (+1.084..+1.095) - [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)