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BGonline.org Forums
Rollout...more or less
Posted By: Daniel Murphy In Response To: Rollout...more or less (Klaus Evers)
Date: Monday, 5 December 2011, at 12:29 a.m.
The score (after 0 games) is: White 9, Blue 0 (match to 13 points)
White 80
Blue 119 Position ID: 3eOGgAC1OYMBBg Match ID: QQm3AZAAAAAE The appeal of 13/7* 6/1 is that if White fans Blue has 21/36 ways to make the deuce point next turn instead of only 15/36 ways after 13/7*/2. 13/7* 6/1 also gives White only 5/36 ways to enter and cover his home board blot instead of 7/36.
However, in favor of 13/7*/2:
(1) Blue gets 4/36 ways (33 31 11) instead of 3/36 (33 32) ways to make the 5 point, and the 4/36 ways all give Blue a 5-prime in front of the slotted ace point (after 13/7* 6/1 ... fan, 32 only makes a 4-prime).
(2) White's 52 does not hit 2 checkers -- after 13/7* 6/1 White will play bar/23*/18*.
(3) White's 22 does not hit, cover the ace point and make the 5 point -- after 13/7* 6/1 White will play bar/23* 8/6(2) 3/1.
(4) In any sequence that leads to White anchoring on a low point(White enters, Blue hits on White's acepoint or in the outfield, White anchors), the anchor is on the inferior ace point.
Entering hit and cover numbers After 13/7* 6/1 After 13/7*/2 62 22 21 61 51 21 11
If White fans Play After 13/7* 6/1 ... fan After 13/7*/2 ... fan Make 2 point 66 65 64 63 62 55 54 53 51 42 41 22 Make 1 point 66 65 55 54 53 51 44 41 32 Make 5 point 33 32 33 31 11 Hit outfield blot 61 52 43 61 52 43 None of the above 44 31 21 11 64 63 62 42 22 21 In the altered position below, doublet 2 isn't quite the joker, and the two plays are about even.
The score (after 0 games) is: White 9, Blue 0 (match to 13 points)
White 82
Blue 119 Position ID: 3eOMgAC1OYMBBg Match ID: QQm3AZAAAAAE
# Ply Move Equity • 1 R 13/7* 6/1 +0.4379
0.6227 0.2419 0.0087 - 0.3773 0.1461 0.0184 +0.4563 +0.4379 0.0009 0.0015 0.0003 - 0.0009 0.0016 0.0019 0.0028 0.0037 Full cubeful rollout with var.redn. 2593 games, Mersenne Twister dice gen. with seed 938622850 and quasi-random dice Play: world class 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 8 more moves within equity 0.16 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class] 2 R 13/7*/2 +0.4364 ( -0.0015)
0.6261 0.2217 0.0068 - 0.3739 0.1147 0.0117 +0.4574 +0.4364 0.0009 0.0014 0.0003 - 0.0009 0.0018 0.0016 0.0027 0.0033 Full cubeful rollout with var.redn. 2592 games, Mersenne Twister dice gen. with seed 938622850 and quasi-random dice Play: world class 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 8 more moves within equity 0.16 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class]
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