• 3-away/2-away cube action

    From Timothy Chow@21:1/5 to All on Wed Aug 4 09:18:52 2021
    XGID=-B-BcCB-BA---B-------ebcbA:0:0:1:00:4:5:0:7:10

    X:Player 1 O:Player 2
    Score is X:4 O:5 7 pt.(s) match.
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X | | O O O O |
    | X | | O O O O |
    | | | O O |
    | | | O |
    | | X | O |
    | |BAR| |
    | | | |
    | | | |
    | | | X O |
    | X | | X X O X X |
    | X X | | X X O X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 111 O: 97 X-O: 4-5/7
    Cube: 1
    X on roll, cube action

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Sun Aug 8 21:25:57 2021
    XGID=-B-BcCB-BA---B-------ebcbA:0:0:1:00:4:5:0:7:10

    X:Player 1 O:Player 2
    Score is X:4 O:5 7 pt.(s) match.
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X | | O O O O |
    | X | | O O O O |
    | | | O O |
    | | | O |
    | | X | O |
    | |BAR| |
    | | | |
    | | | |
    | | | X O |
    | X | | X X O X X |
    | X X | | X X O X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 111 O: 97 X-O: 4-5/7
    Cube: 1
    X on roll, cube action

    I didn't appreciate that if X enters and O rolls something average
    then X loses his market according to XG. As it turns out, I didn't
    lose my market, but XG says I missed another double shortly afterward
    (see below).

    Analyzed in Rollout
    No double
    Player Winning Chances: 63.88% (G:12.66% B:0.47%)
    Opponent Winning Chances: 36.12% (G:7.48% B:0.06%)
    Double/Take
    Player Winning Chances: 64.08% (G:12.50% B:0.70%)
    Opponent Winning Chances: 35.92% (G:7.48% B:0.07%)

    Cubeful Equities:
    No double: +0.696 (-0.150)
    Double/Take: +0.846
    Double/Pass: +1.000 (+0.154)

    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: ± 0.009 (+0.687..+0.705)
    Confidence Double: ± 0.011 (+0.835..+0.857)

    eXtreme Gammon Version: 2.19.207.pre-release, MET: Jacobs & Trice

    -----
    Later
    -----

    XGID=-B-BbCBAB----B-------ebccA:0:0:1:00:4:5:0:7:10

    X:Player 1 O:Player 2
    Score is X:4 O:5 7 pt.(s) match.
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X | | O O O O |
    | X | | O O O O |
    | | | O O O |
    | | | O |
    | | X | O |
    | |BAR| |
    | | | |
    | | | |
    | | | X |
    | X | | X X O X X |
    | X X | | X X O X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 109 O: 77 X-O: 4-5/7
    Cube: 1
    X on roll, cube action

    Analyzed in Rollout
    No double
    Player Winning Chances: 54.72% (G:13.41% B:0.42%)
    Opponent Winning Chances: 45.28% (G:11.85% B:0.07%)
    Double/Take
    Player Winning Chances: 55.00% (G:13.80% B:0.57%)
    Opponent Winning Chances: 45.00% (G:12.12% B:0.07%)

    Cubeful Equities:
    No double: +0.350 (-0.023)
    Double/Take: +0.373
    Double/Pass: +1.000 (+0.627)

    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: ± 0.008 (+0.342..+0.359)
    Confidence Double: ± 0.011 (+0.362..+0.384)

    eXtreme Gammon Version: 2.19.207.pre-release, MET: Jacobs & Trice

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
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  • From Timothy Chow@21:1/5 to All on Thu Nov 11 09:20:26 2021
    XGID=-b-aBBCB---AbD----bc-bb-aA:0:0:1:00:4:5:0:7:10

    X:Player 1 O:Player 2
    Score is X:4 O:5 7 pt.(s) match.
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O | | O O O O |
    | X O | | O O O |
    | X | | O |
    | X | | |
    | | X | |
    | |BAR| |
    | | | |
    | | | |
    | | | X |
    | O X | | X X X O |
    | O X X | | X X X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 138 O: 143 X-O: 4-5/7
    Cube: 1
    X on roll, cube action

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
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  • From ah...Clem@21:1/5 to Timothy Chow on Thu Nov 11 13:36:17 2021
    On 11/11/2021 9:20 AM, Timothy Chow wrote:
    XGID=-b-aBBCB---AbD----bc-bb-aA:0:0:1:00:4:5:0:7:10

    X:Player 1   O:Player 2
    Score is X:4 O:5 7 pt.(s) match.  +13-14-15-16-17-18------19-20-21-22-23-24-+
     | X              O |   | O     O  O     O |
     | X              O |   | O     O  O       |
     | X                |   | O                |  | X                |   |                  |
     |                  | X |                  |
     |                  |BAR|                  |
     |                  |   |                  |
     |                  |   |                  |
     |                  |   | X                |
     | O              X |   | X  X  X        O |
     | O  X           X |   | X  X  X  O     O |  +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count  X: 138  O: 143 X-O: 4-5/7
    Cube: 1
    X on roll, cube action

    O has an elevated takepoint AtS, about 25% so X should be more eager to
    ship it. And of course there's no chance for O to recube. I'm pretty
    sure I'd fail to consider cubing this OTB and just roll.

    The take looks pretty clear - X is on the bar and O has a decent board.
    If X hits on the ace O might get a backgame going, or if X dances make a
    fourth homeboard point.

    If X enters, he's ahead in the race with O stuck on the ace point, so
    the cube looks sound AtS.

    D/T.

    --- SoupGate-Win32 v1.05
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  • From Timothy Chow@21:1/5 to All on Sun Nov 14 00:28:58 2021
    XGID=-b-aBBCB---AbD----bc-bb-aA:0:0:1:00:4:5:0:7:10

    X:Player 1 O:Player 2
    Score is X:4 O:5 7 pt.(s) match.
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O | | O O O O |
    | X O | | O O O |
    | X | | O |
    | X | | |
    | | X | |
    | |BAR| |
    | | | |
    | | | |
    | | | X |
    | O X | | X X X O |
    | O X X | | X X X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 138 O: 143 X-O: 4-5/7
    Cube: 1
    X on roll, cube action

    If ah_clem had just rolled without cubing, XG would have approved,
    because according to the rollout below, X is too good, and it is
    a massive pass for O. As it turns out, XGR++ passes this position
    even for money.

    Analyzed in Rollout
    No double
    Player Winning Chances: 72.25% (G:26.13% B:2.83%)
    Opponent Winning Chances: 27.75% (G:9.53% B:0.37%)
    Double/Take
    Player Winning Chances: 71.75% (G:26.02% B:7.73%)
    Opponent Winning Chances: 28.25% (G:10.31% B:0.61%)

    Cubeful Equities:
    No double: +1.070
    Double/Take: +1.558 (+0.489)
    Double/Pass: +1.000 (-0.070)

    Best Cube action: Too good to double / Pass
    Percentage of wrong take needed to make the double decision right: 12.5%

    Rollout:
    1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.009 (+1.060..+1.079)
    Confidence Double: ± 0.017 (+1.542..+1.575)

    eXtreme Gammon Version: 2.19.207.pre-release, MET: Kazaross XG2

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
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  • From Timothy Chow@21:1/5 to All on Sun Aug 7 10:09:21 2022
    Bonus question: What's the cube action for money?


    XGID=aABBBBC----Ab---a-bbbcbB--:0:0:1:00:4:5:0:7:10

    X:Player 1 O:Player 2
    Score is X:4 O:5 7 pt.(s) match.
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O | | O O O O X |
    | O | | O O O O X |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | O | |
    | | | |
    | | | X |
    | O | | X X X X X |
    | O X | | X X X X X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 104 O: 114 X-O: 4-5/7
    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 Mon Aug 8 11:34:02 2022
    On 8/7/2022 10:09 AM, Timothy Chow wrote:

    Bonus question: What's the cube action for money?


    XGID=aABBBBC----Ab---a-bbbcbB--:0:0:1:00:4:5:0:7:10

    X:Player 1   O:Player 2
    Score is X:4 O:5 7 pt.(s) match.  +13-14-15-16-17-18------19-20-21-22-23-24-+
     |          O     O |   | O  O  O  O  X    |  |                O |   | O  O  O  O  X    |  |                  |   |       O          |
     |                  |   |                  |
     |                  |   |                  |
     |                  |BAR|                  |
     |                  | O |                  |
     |                  |   |                  |
     |                  |   | X                |
     | O                |   | X  X  X  X  X    |
     | O  X             |   | X  X  X  X  X  X |  +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count  X: 104  O: 114 X-O: 4-5/7
    Cube: 1
    X on roll, cube action

    Any six is a market loser unless O hits from the bar. 5s are also
    probably market losers other than 55. O can't recube, so might as well
    ship it. But X still has work to do so probably a take. R/T

    For money, the recube vig seems high enough that I'd hold. Might be a
    beaver? I don't play with beavers, so my opinion on that is not worth much.

    --- SoupGate-Win32 v1.05
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  • From Stick Rice@21:1/5 to Tim Chow on Mon Aug 8 21:06:52 2022
    On Sunday, August 7, 2022 at 10:09:24 AM UTC-4, Tim Chow wrote:
    Bonus question: What's the cube action for money?


    XGID=aABBBBC----Ab---a-bbbcbB--:0:0:1:00:4:5:0:7:10

    X:Player 1 O:Player 2
    Score is X:4 O:5 7 pt.(s) match.
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O | | O O O O X |
    | O | | O O O O X |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | O | |
    | | | |
    | | | X |
    | O | | X X X X X |
    | O X | | X X X X X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 104 O: 114 X-O: 4-5/7
    Cube: 1
    X on roll, cube action

    ---
    Tim Chow

    Generally speaking, I think of the position for money first knowing both sides of the cube action and then I move on to what the score actually is is and what effect that score might have on the cube action. It's much easier that way.

    Stick

    --- SoupGate-Win32 v1.05
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  • From Timothy Chow@21:1/5 to All on Tue Aug 9 09:00:46 2022
    XGID=aABBBBC----Ab---a-bbbcbB--:0:0:1:00:4:5:0:7:10

    X:Player 1 O:Player 2
    Score is X:4 O:5 7 pt.(s) match.
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O | | O O O O X |
    | O | | O O O O X |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | O | |
    | | | |
    | | | X |
    | O | | X X X X X |
    | O X | | X X X X X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 104 O: 114 X-O: 4-5/7
    Cube: 1
    X on roll, cube action

    Ah_clem's assessment of this position was much better than mine.
    For money, the XG rollout below says this is a beaver (though
    only just). But at 3-away/2-away, XG says its a massive double
    (though a trivial take).

    The practical value of this position is debatable. Typically,
    at 3-away/2-away, the 3-away player will have a double long before
    reaching a position like this one. Indeed, in the actual game,
    XG says I missed two doubles earlier on.

    By the way, in the actual game, I was X, and I did not double.
    I then rolled 44 and was glad I hadn't doubled. It was then
    XG 3-ply's turn to miss a double!

    Analyzed in Rollout
    No double
    Player Winning Chances: 51.29% (G:27.11% B:0.41%)
    Opponent Winning Chances: 48.71% (G:9.52% B:0.72%)
    Double/Take
    Player Winning Chances: 51.26% (G:27.06% B:0.59%)
    Opponent Winning Chances: 48.74% (G:9.28% B:0.72%)

    Cubeful Equities:
    No double: +0.318 (-0.160)
    Double/Take: +0.478
    Double/Pass: +1.000 (+0.522)

    Best Cube action: Double / Take

    Rollout:
    2592 Games rolled with Variance Reduction.
    Dice Seed: 271828
    First 3 moves: 4-ply, cube decisions: XG Roller+
    Remaining moves: 3-ply, cube decisions: XG Roller
    Search interval: Large
    Confidence No Double: ± 0.007 (+0.311..+0.324)
    Confidence Double: ± 0.007 (+0.471..+0.485)

    eXtreme Gammon Version: 2.19.207.pre-release, MET: Kazaross XG2

    -----
    Money
    -----

    XGID=aABBBBC----Ab---a-bbbcbB--:0:0:1:00:0:0:3:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game, Jacoby Beaver
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O | | O O O O X |
    | O | | O O O O X |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | O | |
    | | | |
    | | | X |
    | O | | X X X X X |
    | O X | | X X X X X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 104 O: 114 X-O: 0-0
    Cube: 1
    X on roll, cube action

    Analyzed in Rollout
    No double
    Player Winning Chances: 51.85% (G:26.60% B:0.26%)
    Opponent Winning Chances: 48.15% (G:11.35% B:0.56%)
    Double/Take
    Player Winning Chances: 51.83% (G:27.20% B:0.23%)
    Opponent Winning Chances: 48.17% (G:11.97% B:0.59%)

    Cubeful Equities:
    No double: +0.030
    Double/Beaver: -0.054 (-0.084)
    Double/Pass: +1.000 (+0.970)

    Best Cube action: No double / Beaver
    Percentage of wrong pass needed to make the double decision right: 7.4%

    Rollout:
    2592 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.008 (+0.022..+0.038)
    Confidence Double: ± 0.022 (-0.076..-0.032)

    eXtreme Gammon Version: 2.19.207.pre-release

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
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  • From Timothy Chow@21:1/5 to All on Tue Mar 28 09:24:15 2023
    XGID=-b---BECA---bB--a--eb--cB-:0:0:1:00:4:5:0:7:10

    Score is X:4 O:5 7 pt.(s) match.
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O | | O O O X |
    | X | | O O O X |
    | | | O O |
    | | | O |
    | | | O |
    | |BAR| |
    | | | X |
    | | | X |
    | X | | X |
    | O X | | X X O |
    | O X X | | X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 143 O: 129 X-O: 4-5/7
    Cube: 1
    X on roll, cube action

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Robert Zimmerman@21:1/5 to Timothy Chow on Tue Mar 28 10:46:31 2023
    On Tuesday, March 28, 2023 at 9:24:17 AM UTC-4, Timothy Chow wrote:
    XGID=-b---BECA---bB--a--eb--cB-:0:0:1:00:4:5:0:7:10

    Score is X:4 O:5 7 pt.(s) match.
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O | | O O O X |
    | X | | O O O X |
    | | | O O |
    | | | O |
    | | | O |
    | |BAR| |
    | | | X |
    | | | X |
    | X | | X |
    | O X | | X X O |
    | O X X | | X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 143 O: 129 X-O: 4-5/7
    Cube: 1
    X on roll, cube action

    ---
    Tim Chow

    Pretty sure it's a D/T for money as there are several market losing sequences. So for the 4-away and 3-away scores I think it's a double. For the opponent at 4-away it looks gammonish enough to pass, that is, there's plenty of contact left. Still, at the
    moment X looks to win a fair amount from priming or escaping, and not via a large number of gammons (as with an early blitzing game), i.e. not enough for O to take at this score where gammon value on a 2 cube is about half.

    Bob

    --- SoupGate-Win32 v1.05
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  • From Timothy Chow@21:1/5 to All on Thu Mar 30 09:10:31 2023
    XGID=-b---BECA---bB--a--eb--cB-:0:0:1:00:4:5:0:7:10

    Score is X:4 O:5 7 pt.(s) match.
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O | | O O O X |
    | X | | O O O X |
    | | | O O |
    | | | O |
    | | | O |
    | |BAR| |
    | | | X |
    | | | X |
    | X | | X |
    | O X | | X X O |
    | O X X | | X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 143 O: 129 X-O: 4-5/7
    Cube: 1
    X on roll, cube action

    I underestimated how bad that dilly builder on the 2pt is. XG says
    this is a big pass. O would rather have that dilly builder all the
    way back on X's 3pt (see variant).

    Analyzed in Rollout
    No double
    Player Winning Chances: 64.91% (G:22.46% B:1.66%)
    Opponent Winning Chances: 35.09% (G:12.02% B:1.37%)
    Double/Take
    Player Winning Chances: 65.14% (G:22.75% B:2.92%)
    Opponent Winning Chances: 34.86% (G:13.32% B:2.89%)

    Cubeful Equities:
    No double: +0.864 (-0.136)
    Double/Take: +1.117 (+0.117)
    Double/Pass: +1.000

    Best Cube action: Double / Pass

    Rollout:
    1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.011 (+0.854..+0.875)
    Confidence Double: ± 0.016 (+1.101..+1.133)

    eXtreme Gammon Version: 2.19.211.pre-release, MET: Kazaross XG2

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

    XGID=-b-a-BECA---bB--a--eb--bB-:0:0:1:00:4:5:0:7:10

    Score is X:4 O:5 7 pt.(s) match.
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O | | O O O X |
    | X | | O O O X |
    | | | O |
    | | | O |
    | | | O |
    | |BAR| |
    | | | X |
    | | | X |
    | X | | X |
    | O X | | X X O |
    | O X X | | X X O O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 143 O: 149 X-O: 4-5/7
    Cube: 1
    X on roll, cube action

    Analyzed in Rollout
    No double
    Player Winning Chances: 62.85% (G:23.55% B:3.87%)
    Opponent Winning Chances: 37.15% (G:13.08% B:1.69%)
    Double/Take
    Player Winning Chances: 62.65% (G:23.83% B:6.58%)
    Opponent Winning Chances: 37.35% (G:13.68% B:2.61%)

    Cubeful Equities:
    No double: +0.823 (-0.177)
    Double/Take: +1.010 (+0.010)
    Double/Pass: +1.000

    Best Cube action: Double / Pass

    Rollout:
    1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.014 (+0.809..+0.837)
    Confidence Double: ± 0.018 (+0.992..+1.028)

    eXtreme Gammon Version: 2.19.211.pre-release, MET: Kazaross XG2

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Sat Sep 16 08:57:34 2023
    XGID=-b--B-D-C--AdC--bb-e-B----:0:0:1:00:4:5:0:7:10

    Score is X:4 O:5 7 pt.(s) match.
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O O | | O X |
    | X O O | | O X |
    | X | | O |
    | | | O |
    | | | O |
    | |BAR| |
    | | | |
    | O | | X |
    | O X | | X |
    | O X | | X X O |
    | O X X | | X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 148 O: 164 X-O: 4-5/7
    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 Sun Sep 17 11:44:28 2023
    On 9/16/2023 8:57 AM, Timothy Chow wrote:
    XGID=-b--B-D-C--AdC--bb-e-B----:0:0:1:00:4:5:0:7:10

    Score is X:4 O:5 7 pt.(s) match.
     +13-14-15-16-17-18------19-20-21-22-23-24-+
     | X        O  O    |   | O     X          |
     | X        O  O    |   | O     X          |
     | X                |   | O                |
     |                  |   | O                |
     |                  |   | O                |
     |                  |BAR|                  |
     |                  |   |                  |
     | O                |   | X                |
     | O           X    |   | X                |
     | O           X    |   | X     X        O |
     | O  X        X    |   | X     X        O |
     +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count  X: 148  O: 164 X-O: 4-5/7
    Cube: 1
    X on roll, cube action


    This position looks like it has about the usual amount of gammons, so
    the leader's takepooint at 3a 2a is about 35%.

    X has the lead in position and race, so PRAT says ship it, and O's
    elevated takepoint reinforces that. Can O take?

    Not sure with the elevated takepoint, but it seems like there is a lot
    of game yet to be played so I'll say take. D/T.

    --
    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 All on Mon Sep 18 09:45:30 2023
    XGID=-b--B-D-C--AdC--bb-e-B----:0:0:1:00:4:5:0:7:10

    Score is X:4 O:5 7 pt.(s) match.
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X O O | | O X |
    | X O O | | O X |
    | X | | O |
    | | | O |
    | | | O |
    | |BAR| |
    | | | |
    | O | | X |
    | O X | | X |
    | O X | | X X O |
    | O X X | | X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 148 O: 164 X-O: 4-5/7
    Cube: 1
    X on roll, cube action

    For money, XG says this is pretty far from a double. At 3a2a,
    a ND for money can turn into a big double if there are blots lying
    around for X to attack, but that's not the case here. But XG says
    it's a huge double for X. The position is evidently more gammonish
    than I thought.

    Analyzed in Rollout
    No double
    Player Winning Chances: 62.78% (G:20.26% B:1.96%)
    Opponent Winning Chances: 37.22% (G:7.27% B:0.69%)
    Double/Take
    Player Winning Chances: 62.65% (G:20.60% B:2.90%)
    Opponent Winning Chances: 37.35% (G:7.72% B:0.56%)

    Cubeful Equities:
    No double: +0.828 (-0.099)
    Double/Take: +0.927
    Double/Pass: +1.000 (+0.073)

    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: ± 0.012 (+0.815..+0.840)
    Confidence Double: ± 0.017 (+0.910..+0.943)

    eXtreme Gammon Version: 2.19.211.pre-release, MET: Kazaross XG2

    -----
    Money
    -----

    XGID=-b--B-D-C--AdC--bb-e-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 X |
    | X O O | | O X |
    | X | | O |
    | | | O |
    | | | O |
    | |BAR| |
    | | | |
    | O | | X |
    | O X | | X |
    | O X | | X X O |
    | O X X | | X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 148 O: 164 X-O: 0-0
    Cube: 1
    X on roll, cube action

    Analyzed in Rollout
    No double
    Player Winning Chances: 62.75% (G:21.23% B:1.28%)
    Opponent Winning Chances: 37.25% (G:7.68% B:0.32%)
    Double/Take
    Player Winning Chances: 62.72% (G:21.14% B:1.26%)
    Opponent Winning Chances: 37.28% (G:7.66% B:0.32%)

    Cubeful Equities:
    No double: +0.584
    Double/Take: +0.505 (-0.078)
    Double/Pass: +1.000 (+0.416)

    Best Cube action: No double / Take
    Percentage of wrong pass needed to make the double decision right: 15.9%

    Rollout:
    1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.017 (+0.567..+0.600)
    Confidence Double: ± 0.020 (+0.485..+0.525)

    eXtreme Gammon Version: 2.19.211.pre-release

    ---
    Tim Chow

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