• Prime versus prime cube 2

    From Timothy Chow@21:1/5 to All on Wed Oct 18 08:40:22 2023
    XGID=-bBBBBB-A---bB---bbbc-B-b-:0:0:1:00:0:0:0:0:10

    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 |
    | X O O | | O O X O |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | | | |
    | 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: 118 O: 133 X-O: 0-0
    Cube: 1
    X on roll, cube action

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From ah....Clem@21:1/5 to Timothy Chow on Wed Oct 18 11:13:33 2023
    On 10/18/2023 8:40 AM, Timothy Chow wrote:
    XGID=-bBBBBB-A---bB---bbbc-B-b-:0:0:1:00:0:0:0:0:10

    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 |
     | X           O  O |   | O  O     X     O |
     |                  |   |    O             |
     |                  |   |                  |
     |                  |   |                  |
     |                  |BAR|                  |
     |                  |   |                  |
     |                  |   |                  |
     |                  |   |                  |
     | 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: 118  O: 133 X-O: 0-0
    Cube: 1
    X on roll, cube action



    The take seems unclear, so I'll ship it due to Woolsey's law. Ace point
    games are usually passes, but X has work to do, so maybe...

    Then I observe that O owns both ace points and that's often an
    indication of a pass, so I'll say pass.

    D/P.

    --
    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 ah....Clem on Thu Oct 19 09:18:04 2023
    On 10/18/2023 11:13 AM, ah....Clem wrote:
    On 10/18/2023 8:40 AM, Timothy Chow wrote:
    XGID=-bBBBBB-A---bB---bbbc-B-b-:0:0:1:00:0:0:0:0:10

    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 |
      | X           O  O |   | O  O     X     O |
      |                  |   |    O             |
      |                  |   |                  |
      |                  |   |                  |
      |                  |BAR|                  |
      |                  |   |                  |
      |                  |   |                  |
      |                  |   |                  |
      | 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: 118  O: 133 X-O: 0-0
    Cube: 1
    X on roll, cube action

    The take seems unclear, so I'll ship it due to Woolsey's law.  Ace point games are usually passes, but X has work to do, so maybe...

    This is not an "ace-point game," at least not in the sense that people
    mean when they employ the adage, "ace-point games are usually passes."
    An ace-point game in that sense means that the other player's back
    checkers have already escaped, which is not the case here.

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Sun Oct 22 09:50:35 2023
    XGID=-bBBBBB-A---bB---bbbc-B-b-:0:0:1:00:0:0:0:0:10

    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 |
    | X O O | | O O X O |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | | | |
    | 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: 118 O: 133 X-O: 0-0
    Cube: 1
    X on roll, cube action

    Like ah...clem, I thought this was a pass, since X has the better prime
    and board and O has those dead checkers on her ace point. But X doesn't
    have all that great timing himself, and XG says it's an easy take. Even
    if we give X better timing (see variant), XG still takes.

    Analyzed in Rollout
    No double
    Player Winning Chances: 68.01% (G:21.41% B:1.35%)
    Opponent Winning Chances: 31.99% (G:7.07% B:0.22%)
    Double/Take
    Player Winning Chances: 68.15% (G:21.59% B:1.40%)
    Opponent Winning Chances: 31.85% (G:7.55% B:0.25%)

    Cubeful Equities:
    No double: +0.719 (-0.068)
    Double/Take: +0.787
    Double/Pass: +1.000 (+0.213)

    Best Cube action: Double / Take

    Rollout:
    1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.013 (+0.706..+0.731)
    Confidence Double: ± 0.016 (+0.771..+0.803)

    eXtreme Gammon Version: 2.19.211.pre-release

    -------
    Variant
    -------

    XGID=-bBBBBB-----bB--Abbbc-B-b-:0:0:1:00:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X X O O | | O O X O |
    | X O O | | O O X O |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | | | |
    | O | | X X X X X O |
    | O | | X X X X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 126 O: 133 X-O: 0-0
    Cube: 1
    X on roll, cube action

    Analyzed in Rollout
    No double
    Player Winning Chances: 70.05% (G:23.85% B:1.42%)
    Opponent Winning Chances: 29.95% (G:7.01% B:0.18%)
    Double/Take
    Player Winning Chances: 70.25% (G:23.92% B:1.51%)
    Opponent Winning Chances: 29.75% (G:7.33% B:0.21%)

    Cubeful Equities:
    No double: +0.823 (-0.115)
    Double/Take: +0.938
    Double/Pass: +1.000 (+0.062)

    Best Cube action: Double / Take

    Rollout:
    5184 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.005 (+0.818..+0.828)
    Confidence Double: ± 0.008 (+0.930..+0.946)

    eXtreme Gammon Version: 2.19.211.pre-release

    ---
    Tim Chow

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