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42! Edge of Prime Teaser

Posted By: Daniel Murphy
Date: Tuesday, 13 October 2009, at 4:57 p.m.

In Response To: 42! Edge of Prime, Point or Bit of Both? (Max Urban)

In MU's original position, after Blue plays 4-2, White will enter zero, one or two checkers. Below, White has entered zero. Blue has played a 4-2, and White has danced.

Score changed to a "points game" (will this term catch on?), no Jacoby.

Position A (25%). Hero on roll, cube decision? Opponent 142 Hero 123 Position ID: sHcHAWAbPoUBEg Match ID: cAkAAAAAAAAA • Hero doubles Cube decision Rollout cubeless equity +0.7168 Cubeful equities: 1. Double, pass +1.0000 2. Double, take +1.2470 +0.2470 3. No double +0.8904 -0.1096 Proper cube action: Double, pass Rollout details Win W g W bg Lose L g L bg Cubeless Cubeful Centered 1-cube 0.6748 0.4384 0.0133 - 0.3252 0.0803 0.0043 +0.7168 +0.8904 Standard error 0.0022 0.0033 0.0011 - 0.0022 0.0016 0.0006 0.0060 0.0179 Player Opponent owns 2-cube 0.6784 0.4442 0.0131 - 0.3216 0.0801 0.0057 +1.4564 +1.2470 Standard error 0.0028 0.0047 0.0013 - 0.0028 0.0024 0.0010 0.0162 0.0367 Full cubeful rollout with var.redn. 323 games, Mersenne Twister dice gen. with seed 871412446 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] Annotation 2-ply cubeless equity +0.6807 0.6656 0.4273 0.0114 - 0.3344 0.0852 0.0039 Cubeful equities: 1. Double, pass +1.0000 2. Double, take +1.1355 ( +0.1355) 3. No double +0.8741 ( -0.1259) Proper cube action: Double, pass 3-ply cubeless equity +0.7528 0.6819 0.4607 0.0182 - 0.3181 0.0865 0.0035 Cubeful equities: 1. Double, pass +1.0000 2. Double, take +1.2901 ( +0.2901) 3. No double +0.9293 ( -0.0707) Proper cube action: Double, pass 4-ply cubeless equity +0.6988 0.6714 0.4300 0.0139 - 0.3286 0.0839 0.0041 Cubeful equities: 1. Double, pass +1.0000 2. Double, take +1.1789 ( +0.1789) 3. No double +0.8767 ( -0.1233) Proper cube action: Double, pass

Position B (44.4%) Hero on roll, cube decision? Opponent 142 Hero 123 Position ID: sHcHAWCbecABGA Match ID: cAkAAAAAAAAA • Hero doubles Cube decision Rollout cubeless equity +0.6350 Cubeful equities: 1. Double, pass +1.0000 2. Double, take +1.0048 +0.0048 3. No double +0.7922 -0.2078 Proper cube action: Double, pass Rollout details Win W g W bg Lose L g L bg Cubeless Cubeful Centered 1-cube 0.6427 0.4246 0.0141 - 0.3573 0.0847 0.0044 +0.6350 +0.7922 Standard error 0.0010 0.0015 0.0006 - 0.0010 0.0009 0.0002 0.0030 0.0067 Player Opponent owns 2-cube 0.6471 0.4362 0.0127 - 0.3529 0.0857 0.0050 +1.3048 +1.0048 Standard error 0.0013 0.0020 0.0007 - 0.0013 0.0011 0.0003 0.0077 0.0118 Full cubeful rollout with var.redn. 1584 games, Mersenne Twister dice gen. with seed 871412446 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] Annotation 2-ply cubeless equity +0.6046 0.6342 0.4171 0.0097 - 0.3658 0.0874 0.0032 Cubeful equities: 1. Double, take +0.9628 2. Double, pass +1.0000 ( +0.0372) 3. No double +0.7892 ( -0.1735) Proper cube action: Double, take 3-ply cubeless equity +0.6507 0.6435 0.4383 0.0173 - 0.3565 0.0892 0.0027 Cubeful equities: 1. Double, pass +1.0000 2. Double, take +1.0565 ( +0.0565) 3. No double +0.8206 ( -0.1794) Proper cube action: Double, pass 4-ply cubeless equity +0.6070 0.6356 0.4145 0.0122 - 0.3644 0.0877 0.0032 Cubeful equities: 1. Double, take +0.9692 2. Double, pass +1.0000 ( +0.0308) 3. No double +0.7826 ( -0.1865) Proper cube action: Double, take

Messages In This Thread

• 42! Edge of Prime, Point or Bit of Both?
  Max Urban -- Monday, 12 October 2009, at 9:33 a.m.
  • 42! Edge of Prime, Point or Bit of Both?
    Joe Russell -- Monday, 12 October 2009, at 10:16 a.m.
    • 42! Edge of Prime, Point or Bit of Both?
      Joe Russell -- Monday, 12 October 2009, at 10:32 a.m.
  • 42! Edge of Prime, Point or Bit of Both?
    Christian Munk-Christensen -- Monday, 12 October 2009, at 1:50 p.m.
  • 42! Edge of Prime, Point or Bit of Both?
    neilkaz -- Monday, 12 October 2009, at 2:43 p.m.
  • 42! Edge of Prime, Point or Bit of Both?
    Martin -- Monday, 12 October 2009, at 5:56 p.m.
  • 42! Edge of Prime, Point or Bit of Both?
    Rich Munitz -- Monday, 12 October 2009, at 10:09 p.m.
    • 42! Edge of Prime, Point or Bit of Both?
      Joe Russell -- Monday, 12 October 2009, at 10:57 p.m.
      • 42! Edge of Prime, Point or Bit of Both?
        Rich Munitz -- Tuesday, 13 October 2009, at 12:25 a.m.
        • 42! Edge of Prime, Point or Bit of Both?
          Joe Russell -- Tuesday, 13 October 2009, at 4:30 a.m.
          • Short rollout: 42! Edge of Prime, Point or Bit of Both?
            Timothy Chow -- Thursday, 15 October 2009, at 4:09 a.m.
            • Short rollout: 42! Edge of Prime, Point or Bit of Both?
              Rich Munitz -- Thursday, 15 October 2009, at 5:03 a.m.
              • 2592-game rollout: 42! Edge of Prime, Point or Bit of Both?
                Timothy Chow -- Friday, 16 October 2009, at 2:41 p.m.
                • 2592-game rollout: 42! Edge of Prime, Point or Bit of Both?
                  Rich Munitz -- Friday, 16 October 2009, at 5:48 p.m.
    • 42! Edge of Prime, Point or Bit of Both?
      Daniel Murphy -- Tuesday, 13 October 2009, at 3:46 a.m.
      • 42! Edge of Prime, Point or Bit of Both?
        Rich Munitz -- Tuesday, 13 October 2009, at 4:23 a.m.
  • 42! Edge of Prime, Point or Bit of Both?
    Keene -- Monday, 12 October 2009, at 11:19 p.m.
    • 42! Edge of Prime, Point or Bit of Both?
      Rich Munitz -- Tuesday, 13 October 2009, at 1:06 a.m.
      • 42! Edge of Prime, Point or Bit of Both?
        Keene -- Tuesday, 13 October 2009, at 2:22 a.m.
  • 42! Edge of Prime, Point or Bit of Both?
    Christian Munk-Christensen -- Tuesday, 13 October 2009, at 6:42 a.m.
    • 42! Edge of Prime, Point or Bit of Both?
      Max Urban -- Tuesday, 13 October 2009, at 8:12 a.m.
  • 42! Edge of Prime Teaser
    Daniel Murphy -- Tuesday, 13 October 2009, at 4:57 p.m.
  • Rollout: 42! Edge of Prime, Point or Bit of Both?
    Timothy Chow -- Thursday, 15 October 2009, at 3:02 p.m.
    • Rollout: 42! Edge of Prime, Point or Bit of Both?
      Daniel Murphy -- Friday, 16 October 2009, at 4:15 p.m.