• Prime versus prime, kinda

    From Timothy Chow@21:1/5 to All on Tue Apr 18 09:52:44 2023
    XGID=---b-BCBBB-AbA-a-bce----B-:1:-1:1:31:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O O O | | O X | +---+
    | O O | | O X | | 2 |
    | O | | O | +---+
    | | | O |
    | | | O |
    | |BAR| |
    | | | |
    | | | |
    | | | X |
    | O X X X | | X X O |
    | O X X X X | | X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 148 O: 147 X-O: 0-0
    Cube: 2, O own cube
    X to play 31

    ---
    Tim Chow

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  • From Robert Zimmerman@21:1/5 to Timothy Chow on Tue Apr 18 07:21:08 2023
    On Tuesday, April 18, 2023 at 9:52:47 AM UTC-4, Timothy Chow wrote:
    XGID=---b-BCBBB-AbA-a-bce----B-:1:-1:1:31:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O O O | | O X | +---+
    | O O | | O X | | 2 |
    | O | | O | +---+
    | | | O |
    | | | O |
    | |BAR| |
    | | | |
    | | | |
    | | | X |
    | O X X X | | X X O |
    | O X X X X | | X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 148 O: 147 X-O: 0-0
    Cube: 2, O own cube
    X to play 31

    ---
    Tim Chow
    X's timing for holding that prime looks challenging. I think getting the back checkers out is urgent. The prime for the moment is functionally a 6 prime, until O rolls some 1s. 6s into her home board might prove hazardous for O, so splitting the back
    checkers may work out. I would play 24/21 and then 11/10 to be ready to hit O if she moves a checker to the edge of the prime.
    Bob

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  • From Timothy Chow@21:1/5 to All on Thu Apr 20 09:06:27 2023
    XGID=---b-BCBBB-AbA-a-bce----B-:1:-1:1:31:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O O O | | O X | +---+
    | O O | | O X | | 2 |
    | O | | O | +---+
    | | | O |
    | | | O |
    | |BAR| |
    | | | |
    | | | |
    | | | X |
    | O X X X | | X X O |
    | O X X X X | | X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 148 O: 147 X-O: 0-0
    Cube: 2, O own cube
    X to play 31

    I couldn't resist the temptation to clean up my blot and complete a
    six-prime. After all, O's prime looks pretty weak by comparison, so
    what's the rush to get moving? However, as Bob pointed out, X's prime
    is already extremely strong, and if X does not split, then he has some
    awkward rolls which force him to break his prime.

    1. Rollout¹ 24/23 24/21 eq:+0.319
    Player: 68.09% (G:16.22% B:0.89%)
    Opponent: 31.91% (G:9.24% B:0.31%)
    Confidence: ±0.011 (+0.309..+0.330) - [87.6%]

    2. Rollout¹ 24/20 eq:+0.311 (-0.009)
    Player: 68.00% (G:15.62% B:0.63%)
    Opponent: 32.00% (G:9.26% B:0.48%)
    Confidence: ±0.010 (+0.300..+0.321) - [12.4%]

    3. Rollout¹ 24/21 6/5 eq:+0.292 (-0.028)
    Player: 67.03% (G:15.58% B:0.69%)
    Opponent: 32.97% (G:9.36% B:0.44%)
    Confidence: ±0.012 (+0.280..+0.303) - [0.0%]

    4. Rollout¹ 24/21 11/10 eq:+0.280 (-0.040)
    Player: 66.96% (G:16.38% B:0.75%)
    Opponent: 33.04% (G:10.36% B:0.55%)
    Confidence: ±0.010 (+0.269..+0.290) - [0.0%]

    5. Rollout¹ 24/23 13/10 eq:+0.232 (-0.088)
    Player: 65.24% (G:14.39% B:0.65%)
    Opponent: 34.76% (G:9.64% B:0.49%)
    Confidence: ±0.012 (+0.220..+0.244) - [0.0%]

    6. Rollout¹ 24/23 11/8 eq:+0.232 (-0.088)
    Player: 65.15% (G:14.79% B:0.65%)
    Opponent: 34.85% (G:9.77% B:0.38%)
    Confidence: ±0.009 (+0.222..+0.241) - [0.0%]

    7. Rollout¹ 13/10 11/10 eq:+0.174 (-0.146)
    Player: 63.39% (G:13.17% B:0.49%)
    Opponent: 36.61% (G:9.13% B:0.44%)
    Confidence: ±0.011 (+0.163..+0.184) - [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

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