• What's the fourth 3?

    From Timothy Chow@21:1/5 to All on Mon Mar 21 07:52:04 2022
    XGID=-a---aE-E---dC-a-a-cb--bAA:0:0:1:33:0:0:0:0:10

    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-+
    | X O O | | O O O X |
    | X | | O O O |
    | X | | O |
    | | | |
    | | X | |
    | |BAR| |
    | X | | X |
    | O X | | X |
    | O X | | X |
    | O X | | X |
    | O X | | X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 158 O: 146 X-O: 0-0
    Cube: 1
    X to play 33

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Wed Mar 23 09:21:29 2022
    XGID=-a---aE-E---dC-a-a-cb--bAA:0:0:1:33:0:0:0:0:10

    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-+
    | X O O | | O O O X |
    | X | | O O O |
    | X | | O |
    | | | |
    | | X | |
    | |BAR| |
    | X | | X |
    | O X | | X |
    | O X | | X |
    | O X | | X |
    | O X | | X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 158 O: 146 X-O: 0-0
    Cube: 1
    X to play 33

    Is it an oxymoron to blitz cautiously? With ten checkers in the zone
    and potentially two more of O's blots to pick up, X has some serious
    blitzing potential in this position. At the same time, O has a
    three-point board and X has two blots, so the game could turn around
    in a heartbeat. According to the rollout, XG recommends the
    conservative 8/5 for the fourth 3.

    The variant below is less double-edged, and XG says that 24/21 is
    also a viable fourth 3.

    1. Rollout¹ Bar/22 8/5*(3) eq:+0.297
    Player: 55.98% (G:22.12% B:1.58%)
    Opponent: 44.02% (G:14.70% B:0.62%)
    Confidence: ±0.015 (+0.283..+0.312) - [100.0%]

    2. Rollout¹ Bar/22 13/10 8/5*(2) eq:+0.205 (-0.092)
    Player: 54.55% (G:21.12% B:1.67%)
    Opponent: 45.45% (G:16.04% B:0.87%)
    Confidence: ±0.015 (+0.190..+0.220) - [0.0%]

    3. Rollout¹ Bar/22 24/21 8/5*(2) eq:+0.184 (-0.113)
    Player: 53.83% (G:20.37% B:1.63%)
    Opponent: 46.17% (G:17.19% B:0.55%)
    Confidence: ±0.015 (+0.169..+0.199) - [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
    -------

    XGID=-a---aE-E---dC---b-cb--bAA:0:0:1:33:0:0:0:0:10

    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-+
    | X O | | O O O X |
    | X O | | O O O |
    | X | | O |
    | | | |
    | | X | |
    | |BAR| |
    | X | | X |
    | O X | | X |
    | O X | | X |
    | O X | | X |
    | O X | | X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 158 O: 144 X-O: 0-0
    Cube: 1
    X to play 33

    1. Rollout¹ Bar/22 8/5*(3) eq:+0.075
    Player: 51.55% (G:18.47% B:0.94%)
    Opponent: 48.45% (G:16.15% B:0.67%)
    Confidence: ±0.007 (+0.068..+0.082) - [100.0%]

    2. Rollout¹ Bar/22 24/21 8/5*(2) eq:+0.055 (-0.020)
    Player: 51.56% (G:16.05% B:0.81%)
    Opponent: 48.44% (G:15.83% B:0.53%)
    Confidence: ±0.007 (+0.048..+0.063) - [0.0%]

    3. Rollout¹ Bar/22 13/10 8/5*(2) eq:+0.014 (-0.061)
    Player: 50.35% (G:18.21% B:1.03%)
    Opponent: 49.65% (G:17.37% B:0.98%)
    Confidence: ±0.007 (+0.007..+0.022) - [0.0%]

    ¹ 5184 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)