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Estimate white's chance... Enough to Take? Rollout + what I tried

Posted By: Rico
Date: Friday, 20 May 2016, at 3:41 p.m.

In Response To: Estimate white's chance... Enough to Take? (Rico)





White is Player 1

score: 2
pip: 92
7 point match
pip: 41
score: 4

Blue is Player 2
XGID=-BB-CDB---a------A---bbbhA:1:-1:-1:00:2:4:0:7:10
Blue on roll, cube action?

Analyzed in Rollout No redouble Redouble/Take
Player Winning Chances: 83.061% (G:6.775% B:0.071%) 83.438% (G:7.396% B:0.016%)
Opponent Winning Chances: 16.939% (G:0.462% B:0.012%) 16.562% (G:0.262% B:0.006%)
Cubeless Equities +0.7170 +1.1944
Cubeful Equities
No redouble:+0.7816 (-0.1751)±0.0015 (+0.7801..+0.7830)
Redouble/Take:+0.9566±0.0032 (+0.9534..+0.9598)
Redouble/Pass:+1.0000 (+0.0434)
Best Cube action: Redouble / Take
Rollout details
2592 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller
Double Decision confidence:100.0%
Take Decision confidence:100.0%
Duration: 8 minutes 20 seconds

eXtreme Gammon Version: 2.10, MET: Kazaross XG2

The TP in my memory here is 16. I also remember that, in my process of memorizing TPs, when I rounded to whole numbers, that I rounded up to 16 for 5a/3a 2cube. So I know actual TP is between 15.5 and 16

My attempt at counting the number of immediate hits looks like this..

66- 0

55- 11

44- 11+11 = 22

33- 0

22- 4 + 22 = 26

11- 6 + 26 = 32

65- 0

64 11*2 = 22 + 32 = 54

63- 13*2 = 26 + 54 = 80

62- 4*2 = 8 + 80 = 88

61- 0

54- 13 * 2 = 26 + 88 = 114

53- 4 * 2 = 8 + 114 = 122

52- 0

51- 8 * 2 = 16 + 122 = 138

43- 0

42- 8 * 2 = 16 + 138 = 154

41- 7 * 2 = 14 + 154 = 168

32- 7 * 2 = 14 + 168 = 182

31- 6 * 2 = 12 + 182 = 194

21- 3 * 2 = 6 + 194 = 200

200/1296 ~ 2/13 ~ 1/6.5

I know 1/6 ~ .167 and 1/7 ~ .143, so interpolating gives .155

Wow. Super close.

There are cases when white hits but loses anyway, and cases when white will get a second chance to hit.

I'm not even close to being good enough to try and put a number on these variations, so after 3-4 minutes of mental math, I'm still left scratching my head. So I decide, well, if I didnt have time on the clock to do that math, I would have passed.

So I passed.

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