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Advanced Backgammon part 24D ROLLOUT
Posted By: Matt Cohn-Geier In Response To: Advanced Backgammon part 24D (Matt Cohn-Geier)
Date: Wednesday, 1 July 2009, at 5:53 p.m.
Robertie's claim is that "stripping the 6-5 combination is correct, but stripping the 5-4 is a mistake".
Position 240A:
Here 5/4 is clear. The alternatives leave Blue odd and with a gapped point which is a bad combination.
Move number 7: Blue to play 61
White 174
Blue 60 Position ID: sNsCFDju7g4AAA Match ID: QQkHAAAAAAAA
• Blue moves 6/off 5/4
# Ply Move Equity • 1 R 6/off 5/4 +1.1370
0.7765 0.5923 0.1034 - 0.2235 0.0000 0.0000 +1.2487 +1.1370 0.0013 0.0012 0.0010 - 0.0013 0.0000 0.0000 0.0035 0.0058 Full cubeful rollout with var.redn. 5184 games, Mersenne Twister dice gen. with seed 819398175 and quasi-random dice Play: 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 12 more moves within equity 0.2 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class] 2 R 6/off 4/3 +1.0680 ( -0.0690)
0.7591 0.5720 0.1000 - 0.2409 0.0000 0.0000 +1.1902 +1.0680 0.0040 0.0043 0.0036 - 0.0040 0.0000 0.0000 0.0101 0.0138 Full cubeful rollout with var.redn. 354 games, Mersenne Twister dice gen. with seed 819398175 and quasi-random dice Play: 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 12 more moves within equity 0.2 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class] Position 240B:
5/4 still best even though 3/2 can be played which doesn't leave an inner gap.
Move number 6: Blue to play 61
White 174
Blue 61 Position ID: sNsCFDj27g4AAA Match ID: QQkHAAAAAAAA
• Blue moves 6/off 5/4
# Ply Move Equity • 1 R 6/off 5/4 +1.1624
0.7843 0.5947 0.1083 - 0.2157 0.0000 0.0000 +1.2715 +1.1624 0.0011 0.0012 0.0010 - 0.0011 0.0000 0.0000 0.0029 0.0039 Full cubeful rollout with var.redn. 5184 games, Mersenne Twister dice gen. with seed 819398175 and quasi-random dice Play: 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 12 more moves within equity 0.2 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class] 2 R 6/off 3/2 +1.1212 ( -0.0411)
0.7727 0.5829 0.1041 - 0.2273 0.0000 0.0000 +1.2323 +1.1212 0.0022 0.0021 0.0019 - 0.0022 0.0000 0.0000 0.0053 0.0072 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 819398175 and quasi-random dice Play: 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 12 more moves within equity 0.2 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class] 3 R 6/off 4/3 +1.0291 ( -0.1333)
0.7471 0.5559 0.1034 - 0.2529 0.0000 0.0000 +1.1535 +1.0291 0.0037 0.0042 0.0031 - 0.0037 0.0000 0.0000 0.0097 0.0126 Full cubeful rollout with var.redn. 483 games, Mersenne Twister dice gen. with seed 819398175 and quasi-random dice Play: 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 12 more moves within equity 0.2 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class] Position 240C:
Despite the fact that Blue has cleared his 6 point, it's still right to strip, pay off to the double shot, and avoid the double jeopardy.
Move number 5: Blue to play 15
White 174
Blue 45 Position ID: sNsCFDju3QEAAA Match ID: QYkUAAAAAAAA
• Blue moves 5/off 3/2
# Ply Move Equity • 1 R 5/off 4/3 +1.2336
0.7959 0.6298 0.1127 - 0.2041 0.0000 0.0000 +1.3344 +1.2336 0.0021 0.0022 0.0020 - 0.0021 0.0000 0.0000 0.0057 0.0071 Full cubeful rollout with var.redn. 1804 games, Mersenne Twister dice gen. with seed 862146851 and quasi-random dice Play: 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 12 more moves within equity 0.2 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class] 2 R 5/off 3/2 +1.1992 ( -0.0343)
0.7908 0.6194 0.1103 - 0.2092 0.0000 0.0000 +1.3114 +1.1992 0.0021 0.0020 0.0020 - 0.0021 0.0000 0.0000 0.0057 0.0076 Full cubeful rollout with var.redn. 1803 games, Mersenne Twister dice gen. with seed 862146851 and quasi-random dice Play: 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 12 more moves within equity 0.2 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class]
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