• Hit or rip?

    From Timothy Chow@21:1/5 to All on Sat Jun 3 07:59:40 2023
    XGID=-EEaCB-----------bacbcab--:1:-1:1:21:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O | | O O O O O | +---+
    | O | | O O O O | | 2 |
    | | | O O | +---+
    | | | |
    | | | |
    | |BAR| |
    | | | X X |
    | | | X X |
    | | | X X X |
    | | | X X X X |
    | | | X X O X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 37 O: 92 X-O: 0-0
    Cube: 2, O own cube
    X to play 21

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From ah....Clem@21:1/5 to Timothy Chow on Sat Jun 3 14:03:37 2023
    On 6/3/2023 7:59 AM, Timothy Chow wrote:
    XGID=-EEaCB-----------bacbcab--:1:-1:1:21:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
     +13-14-15-16-17-18------19-20-21-22-23-24-+
     |             O  O |   | O  O  O  O  O    | +---+
     |             O    |   | O  O  O     O    | | 2 |
     |                  |   | O     O          | +---+
     |                  |   |                  |
     |                  |   |                  |
     |                  |BAR|                  |
     |                  |   |             X  X |
     |                  |   |             X  X |
     |                  |   |       X     X  X |
     |                  |   |    X  X     X  X |
     |                  |   |    X  X  O  X  X |
     +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count  X: 37  O: 92 X-O: 0-0
    Cube: 2, O own cube
    X to play 21


    I'll hit here. It keeps X even ended, it gets her our of our hair if she
    rolls a six, and putting her on the roof seems to win more gammons than
    ripping two since there are 16 dancing rolls that allow us to (usually)
    take two off and be better off than ripping two now.

    4/3*/1.

    --
    Ah....Clem
    The future is fun, the future is fair.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Mon Jun 5 08:44:24 2023
    XGID=-EEaCB-----------bacbcab--:1:-1:1:21:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O | | O O O O O | +---+
    | O | | O O O O | | 2 |
    | | | O O | +---+
    | | | |
    | | | |
    | |BAR| |
    | | | X X |
    | | | X X |
    | | | X X X |
    | | | X X X X |
    | | | X X O X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 37 O: 92 X-O: 0-0
    Cube: 2, O own cube
    X to play 21

    Gammon wins are negligible here, and of course the win is in the bag
    if X isn't hit. In such situations, hitting is often the wrong strategy because it allows O to hang around longer for a shot. But here, O has
    enough timing to hang around anyway if X doesn't hit, and hitting gives
    O a chance to roll a 6 and (except for 63) be forced to disengage.

    For comparison, see the variant, where it's a mistake to hit.

    1. Rollout¹ 4/3* 3/1 eq:+0.874
    Player: 93.81% (G:1.50% B:0.00%)
    Opponent: 6.19% (G:0.01% B:0.00%)
    Confidence: ±0.001 (+0.873..+0.875) - [100.0%]

    2. Rollout¹ 4/2 1/Off eq:+0.810 (-0.064)
    Player: 91.25% (G:1.20% B:0.00%)
    Opponent: 8.75% (G:0.00% B:0.00%)
    Confidence: ±0.001 (+0.808..+0.811) - [0.0%]

    3. Rollout¹ 2/Off 1/Off eq:+0.794 (-0.080)
    Player: 90.43% (G:2.70% B:0.01%)
    Opponent: 9.57% (G:0.00% B:0.00%)
    Confidence: ±0.002 (+0.791..+0.796) - [0.0%]

    4. Rollout¹ 4/1 eq:+0.793 (-0.081)
    Player: 90.51% (G:0.55% B:0.00%)
    Opponent: 9.49% (G:0.01% B:0.00%)
    Confidence: ±0.002 (+0.791..+0.795) - [0.0%]

    5. Rollout¹ 2/1 2/Off eq:+0.761 (-0.112)
    Player: 89.38% (G:1.43% B:0.00%)
    Opponent: 10.62% (G:0.00% B:0.00%)
    Confidence: ±0.003 (+0.758..+0.764) - [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=-DDaCBB----------bacbcab--:1:-1:1:21:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O | | O O O O O | +---+
    | O | | O O O O | | 2 |
    | | | O O | +---+
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | X X |
    | | | X X X |
    | | | X X X X X |
    | | | X X X O X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 46 O: 92 X-O: 0-0
    Cube: 2, O own cube
    X to play 21

    1. Rollout¹ 2/Off 1/Off eq:+0.840
    Player: 92.23% (G:2.61% B:0.01%)
    Opponent: 7.77% (G:0.00% B:0.00%)
    Confidence: ±0.002 (+0.838..+0.842) - [100.0%]

    2. Rollout¹ 6/5 6/4 eq:+0.835 (-0.005)
    Player: 92.24% (G:1.70% B:0.00%)
    Opponent: 7.76% (G:0.00% B:0.00%)
    Confidence: ±0.002 (+0.833..+0.837) - [0.0%]

    3. Rollout¹ 2/1 2/Off eq:+0.804 (-0.036)
    Player: 90.95% (G:1.64% B:0.00%)
    Opponent: 9.05% (G:0.00% B:0.00%)
    Confidence: ±0.002 (+0.802..+0.806) - [0.0%]

    4. Rollout¹ 4/3* 3/1 eq:+0.775 (-0.066)
    Player: 89.31% (G:2.04% B:0.00%)
    Opponent: 10.69% (G:0.07% B:0.00%)
    Confidence: ±0.002 (+0.773..+0.777) - [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)