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Outline of Thorp's Tables 7-6, 7-7 & 7-8, combined, in "..Math. of Gambling".

Posted By: Daniel Murphy
Date: Thursday, 31 May 2007, at 4:38 a.m.

In Response To: Outline of Thorp's Tables 7-6, 7-7 & 7-8, combined, in "..Math. of Gambling". (Chuck Bower)

For 43 vs. 43, passing is a 0.0034 error; for 66 vs. 66, passing is a 0.0387 error, according to these rollouts:

Money game. Blue on roll

White	7
Blue	7
Position ID: FAAAoAAAAAAAAA Match ID: cAkAAJAAKAAA

• Blue doubles

Cube decision
Rollout cubeless equity		+0.4983
Cubeful equities:
1.	Double, take	+0.9966
2.	Double, pass	+1.0000	+0.0034
3.	No double	+0.5015	-0.4950
Proper cube action:		Double, take
Rollout details
Win W g W bg Lose L g L bg Cubeless Cubeful Centered 1-cube 0.7492 0.0000 0.0000 - 0.2508 0.0000 0.0000 +0.4983 +0.5015 Standard error 0.0000 0.0000 0.0000 - 0.0000 0.0000 0.0000 0.0000 0.0000 Player White owns 2-cube 0.7492 0.0000 0.0000 - 0.2508 0.0000 0.0000 +0.9966 +0.9966 Standard error 0.0000 0.0000 0.0000 - 0.0000 0.0000 0.0000 0.0000 0.0000
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 1064804351 and quasi-random dice
Play: 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 8 more moves within equity 0.12
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

Money game. Blue on roll

White	12
Blue	12
Position ID: YAAAAAMAAAAAAA Match ID: cAkAAJAAKAAA

• Blue doubles

Cube decision
Rollout cubeless equity		+0.5090
Cubeful equities:
1.	Double, take	+0.9613
2.	Double, pass	+1.0000	+0.0387
3.	No double	+0.6031	-0.3581
Proper cube action:		Double, take
Rollout details
Win W g W bg Lose L g L bg Cubeless Cubeful Centered 1-cube 0.7545 0.0000 0.0000 - 0.2455 0.0000 0.0000 +0.5090 +0.6031 Standard error 0.0000 0.0000 0.0000 - 0.0000 0.0000 0.0000 0.0000 0.0000 Player White owns 2-cube 0.7545 0.0000 0.0000 - 0.2455 0.0000 0.0000 +1.0180 +0.9613 Standard error 0.0000 0.0000 0.0000 - 0.0000 0.0000 0.0000 0.0000 0.0000
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 1064804351 and quasi-random dice
Play: 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 8 more moves within equity 0.12
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

Messages In This Thread

• Outline of Thorp's Tables 7-6, 7-7 & 7-8, combined, in "..Math. of Gambling".
  Curtis Simmons -- Wednesday, 30 May 2007, at 2:50 a.m.
  • Outline of Thorp's Tables 7-6, 7-7 & 7-8, combined, in "..Math. of Gambling".
    Marty Storer -- Wednesday, 30 May 2007, at 4:08 p.m.
    • Outline of Thorp's Tables 7-6, 7-7 & 7-8, combined, in "..Math. of Gambling".
      Curtis Simmons -- Wednesday, 30 May 2007, at 5:33 p.m.
      • Outline of Thorp's Tables 7-6, 7-7 & 7-8, combined, in "..Math. of Gambling".
        Marty Storer -- Wednesday, 30 May 2007, at 8:34 p.m.
  • Outline of Thorp's Tables 7-6, 7-7 & 7-8, combined, in "..Math. of Gambling".
    Chuck Bower -- Wednesday, 30 May 2007, at 5:11 p.m.
    • Outline of Thorp's Tables 7-6, 7-7 & 7-8, combined, in "..Math. of Gambling".
      Daniel Murphy -- Wednesday, 30 May 2007, at 8:36 p.m.
      • Outline of Thorp's Tables 7-6, 7-7 & 7-8, combined, in "..Math. of Gambling".
        Chuck Bower -- Wednesday, 30 May 2007, at 10:07 p.m.
        • Outline of Thorp's Tables 7-6, 7-7 & 7-8, combined, in "..Math. of Gambling".
          Daniel Murphy -- Thursday, 31 May 2007, at 4:38 a.m.
          • Outline of Thorp's Tables 7-6, 7-7 & 7-8, combined, in "..Math. of Gambling".
            Bob Koca -- Thursday, 31 May 2007, at 4:00 p.m.
            • Outline of Thorp's Tables 7-6, 7-7 & 7-8, combined, in "..Math. of Gambling".
              Chuck Bower -- Thursday, 31 May 2007, at 4:07 p.m.
          • Outline of Thorp's Tables 7-6, 7-7 & 7-8, combined, in "..Math. of Gambling".
            Chuck Bower -- Thursday, 31 May 2007, at 4:08 p.m.
        • Outline of Thorp's Tables 7-6, 7-7 & 7-8, combined, in "..Math. of Gambling".
          Bob Koca -- Thursday, 31 May 2007, at 6:13 p.m.