• Broken prime versus broken prime

    From Timothy Chow@21:1/5 to All on Mon Nov 29 21:33:11 2021
    XGID=--abACC-BB---A-A-bbcc-bB--:0:0:1:53:0:0:0:0:10

    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-+
    | X X O O | | O O O X |
    | O O | | O O O X |
    | | | O O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | | | X X |
    | X X | | X X O |
    | X X | | X X X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 145 O: 136 X-O: 0-0
    Cube: 1
    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 Wed Dec 1 08:27:35 2021
    XGID=--abACC-BB---A-A-bbcc-bB--:0:0:1:53:0:0:0:0:10

    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-+
    | X X O O | | O O O X |
    | O O | | O O O X |
    | | | O O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | | | X X |
    | X X | | X X O |
    | X X | | X X X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 145 O: 136 X-O: 0-0
    Cube: 1
    X to play 53

    It seemed natural to me to cover my blot and hit, but to do so,
    I have to break the back of my prime. XG's play of 15/10 13/10
    gives me a broken five-prime rather than a broken-four prime.
    Note the swing on O's rolls of 61 62 63; if I play 9/4 5/2* then
    61 62 63 are jokers for O, whereas after 15/10 13/10, O is forced
    to break her prime.

    1. Rollout¹ 15/10 13/10 eq:-0.169
    Player: 45.92% (G:13.75% B:0.64%)
    Opponent: 54.08% (G:17.74% B:0.94%)
    Confidence: ±0.018 (-0.187..-0.151) - [100.0%]

    2. Rollout¹ 9/4 5/2* eq:-0.246 (-0.077)
    Player: 45.23% (G:12.90% B:0.59%)
    Opponent: 54.77% (G:22.38% B:1.98%)
    Confidence: ±0.017 (-0.263..-0.230) - [0.0%]

    3. Rollout¹ 13/8 5/2* eq:-0.311 (-0.141)
    Player: 44.42% (G:12.06% B:0.53%)
    Opponent: 55.58% (G:22.71% B:1.54%)
    Confidence: ±0.016 (-0.326..-0.295) - [0.0%]

    4. Rollout¹ 9/6 9/4 eq:-0.329 (-0.160)
    Player: 41.33% (G:13.36% B:0.61%)
    Opponent: 58.67% (G:17.88% B:1.07%)
    Confidence: ±0.014 (-0.343..-0.314) - [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)
  • From J R@21:1/5 to Tim Chow on Thu Dec 2 15:59:13 2021
    On Wednesday, December 1, 2021 at 8:27:40 AM UTC-5, Tim Chow wrote:
    XGID=--abACC-BB---A-A-bbcc-bB--:0:0:1:53:0:0:0:0:10

    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-+
    | X X O O | | O O O X |
    | O O | | O O O X |
    | | | O O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | | | X X |
    | X X | | X X O |
    | X X | | X X X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 145 O: 136 X-O: 0-0
    Cube: 1
    X to play 53
    It seemed natural to me to cover my blot and hit, but to do so,
    I have to break the back of my prime. XG's play of 15/10 13/10
    gives me a broken five-prime rather than a broken-four prime.
    Note the swing on O's rolls of 61 62 63; if I play 9/4 5/2* then
    61 62 63 are jokers for O, whereas after 15/10 13/10, O is forced
    to break her prime.

    1. Rollout¹ 15/10 13/10 eq:-0.169
    Player: 45.92% (G:13.75% B:0.64%)
    Opponent: 54.08% (G:17.74% B:0.94%)
    Confidence: ±0.018 (-0.187..-0.151) - [100.0%]

    2. Rollout¹ 9/4 5/2* eq:-0.246 (-0.077)
    Player: 45.23% (G:12.90% B:0.59%)
    Opponent: 54.77% (G:22.38% B:1.98%)
    Confidence: ±0.017 (-0.263..-0.230) - [0.0%]

    3. Rollout¹ 13/8 5/2* eq:-0.311 (-0.141)
    Player: 44.42% (G:12.06% B:0.53%)
    Opponent: 55.58% (G:22.71% B:1.54%)
    Confidence: ±0.016 (-0.326..-0.295) - [0.0%]

    4. Rollout¹ 9/6 9/4 eq:-0.329 (-0.160)
    Player: 41.33% (G:13.36% B:0.61%)
    Opponent: 58.67% (G:17.88% B:1.07%)
    Confidence: ±0.014 (-0.343..-0.314) - [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

    Just a play leaving 4 reachable blots (compared to 1) when the opponent has a very solid forward position should generally be frowned upon.

    Stick

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)