• Re: A difficult one to Axelise

    From Axel Reichert@21:1/5 to peps...@gmail.com on Thu Feb 15 00:22:54 2024
    "peps...@gmail.com" <pepstein5@gmail.com> writes:

    XGID=-BEABCB------------caebba-:1:1:1:00:7:7:0:11:10

    X:Daniel O:XG Roller+
    Score is X:7 O:7 11 pt.(s) match.
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | | | O O O O O O |
    | | | O O O O |
    | | | O O |
    | | | O |
    | | | O |
    | |BAR| |
    | | | X |
    | | | X |
    | | | X X | +---+
    | | | X X X X X | | 2 |
    | | | X X X X X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 50 O: 54 X-O: 7-7/11
    Cube: 2, X own cube
    X on roll, cube action

    Let's see. If you redouble, it will be for the match for both
    players. In this case the take point is the match equity after a pass
    (one of the most important rules to memorize in match play), so we need
    to calculate the match equity at -4/-2. Turner formula says

    50 - (24/4 + 3)*(4-2) = 32 %

    Pip count is 50 versus 54, adjusted 50 + 3 (stack on 2) + 1 (less
    checkers off) = 54 versus 54 (no adjustments needed). The Isight method
    gives

    80 - 54/3 + 2*(54 - 54) = 62 %

    winning chances for you, so 38 % for your opponent, whose take point is
    32 %. Normally you want to double close to your opponents take point, especially if you are far away from a last roll situation. Not
    sure. Calculating the doubling point may help to see where we are in the window. The doubling point is

    risk/(risk+reward)

    and risk is match equity at -4/-2 minus match equity at -4/0. At -4/-2
    you have 32 %, see above. At -4/0 you have 0 %. So you risk 32 %. Now
    the reward, which is the match equity an 0/-4 minus match equity at
    -2/-4. At 0/-4 you have 100 %, at -2/-4 you have 68 %, see above. So the
    reward is 32 %. Your doubling point is 32/(32+32) = 50 %. I would
    double, and the take is clear.

    Best regards

    Axel

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