On 5/21/2012 8:10 AM, Walt wrote:
> XGID=abBBCBDB---------b-dbb-b--:1:1:1:62:4:1:0:5:10
>
> X:Player 1 O:Player 2
> Score is X:4 O:1 5 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 |
> | | | |
> | |BAR| |
> | | O | |
> | | | X |
> | | | X X | +---+
> | X | | X X X X X O | | 2 |
> | X | | X X X X X O | +---+
> +12-11-10--9--8--7-------6--5--4--3--2--1-+
> Pip count X: 70 O: 135 X-O: 4-1/5
> Cube: 2, X own cube
> X to play 62
A fairly close one: the better distribution after 7/5 is not worth
leaving two shots, but 7/5 is better than prematurely burying a checker
on the deuce. Note that 7/5 wins slightly fewer games than 6/4, but
wins more gammons, making 7/5 correct at (some) match scores where
gammons matter. I've rolled out 5a-5a centered cube below.
The gammon losses are miniscule for both plays, so I don't think GG is a
factor here.
XGID=abBBCBDB---------b-dbb-b--:1:1:1:62:4:1:0:5:10
1. Rollout¹ 6/4 eq:+0.632
Player: 81.71% (G:45.48% B:15.71%)
Opponent: 18.29% (G:0.12% B:0.00%)
Confidence: ±0.004 (+0.628..+0.635) - [100.0%]
Duration: 4 minutes 43 seconds
2. Rollout¹ 7/5 eq:+0.608 (-0.024)
Player: 80.56% (G:46.71% B:16.78%)
Opponent: 19.44% (G:0.16% B:0.01%)
Confidence: ±0.004 (+0.604..+0.612) - [0.0%]
Duration: 3 minutes 49 seconds
3. Rollout¹ 4/2 eq:+0.581 (-0.050)
Player: 79.21% (G:43.14% B:13.98%)
Opponent: 20.79% (G:0.13% B:0.01%)
Confidence: ±0.004 (+0.578..+0.585) - [0.0%]
Duration: 3 minutes 45 seconds
4. 2-ply 5/3 eq:+0.356 (-0.276)
Player: 69.96% (G:25.11% B:1.99%)
Opponent: 30.04% (G:2.08% B:0.08%)
¹ 1296 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller
eXtreme Gammon Version: 2.03, MET: Kazaross XG2
///////////////5a-5a rollout///////////////////////////////////////
XGID=abBBCBDB---------b-dbb-b--:0:0:1:62:0:0:0:5:10
X:Player 1 O:Player 2
Score is X:0 O:0 5 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 |
| | | |
| |BAR| |
| | O | |
| | | X |
| | | X X |
| X | | X X X X X O |
| X | | X X X X X O |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 70 O: 135 X-O: 0-0/5
Cube: 1
X to play 62
1. Rollout¹ 7/5 eq:+1.074
Player: 82.37% (G:40.47% B:3.83%)
Opponent: 17.63% (G:0.15% B:0.00%)
Confidence: ±0.008 (+1.066..+1.081) - [99.6%]
Duration: 10 minutes 16 seconds
2. Rollout¹ 6/4 eq:+1.058 (-0.015)
Player: 83.09% (G:38.37% B:3.51%)
Opponent: 16.91% (G:0.09% B:0.00%)
Confidence: ±0.008 (+1.050..+1.067) - [0.4%]
Duration: 9 minutes 49 seconds
¹ 1296 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller
eXtreme Gammon Version: 2.03, MET: Kazaross XG2