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Hit or Go?, is there a magic formula for this?

Posted By: Robert Andersson
Date: Tuesday, 6 November 2012, at 10:30 a.m.

Is there a formula for solving this problem? We know that we need to gain half as wins wins as loses gammons. But I was thinking if there is any correlation between the distance of our last checker to our own sixpoint +1 roll and the opponents average number of rolls to bear off(His EPC/8,16)





White is Player 2

score: 0
pip: 21
Unlimited Game
Jacoby Beaver
pip: 76
score: 0

Blue is Player 1
XGID=-BBBBCC------------b--bAc-:1:1:1:35:0:0:3:0:10
Blue to play 35

1.xgRollout16/1 5/2eq: -0,987
Player:
Opponent:
8,62% (G:0,00% B:0,00%)
91,38% (G:19,01% B:0,23%)
Conf.: ± 0,001 (-0,989...-0,986) - [100,0%]
Duration: 1 minute 03 seconds
2.Rollout123/15eq: -1,020 (-0,033)
Player:
Opponent:
0,00% (G:0,00% B:0,00%)
100,00% (G:1,99% B:0,00%)
Conf.: ± 0,000 (-1,020...-1,020) - [0,0%]
Duration: 14,0 seconds
3.Rollout16/1 4/1eq: -1,049 (-0,061)
Player:
Opponent:
6,86% (G:0,00% B:0,00%)
93,14% (G:20,95% B:0,30%)
Conf.: ± 0,001 (-1,050...-1,047) - [0,0%]
Duration: 1 minute 47 seconds
4.Rollout123/20 6/1eq: -1,057 (-0,069)
Player:
Opponent:
2,27% (G:0,00% B:0,00%)
97,73% (G:11,00% B:0,02%)
Conf.: ± 0,001 (-1,057...-1,056) - [0,0%]
Duration: 17,6 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 76008854
Moves: 4-ply, cube decisions: 3-ply

eXtreme Gammon Version: 2.03

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