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Has anyone already done any work with the value of winning/losing the opening roll in a money game session or at any particular match score?

The 30 possible opening roll equities (cubeless equities, Tom Keith's bkgm.com gnubg 0-ply cubeless rollouts) are:

-0.1670
-0.1234
-0.1035
-0.0638
-0.0545
-0.0155
-0.0125
-0.0102
-0.0088
-0.0072
-0.0066
-0.0056
-0.0053
-0.0032
-0.0024
0.0024
0.0032
0.0053
0.0056
0.0066
0.0072
0.0088
0.0102
0.0125
0.0155
0.0545
0.0638
0.1035
0.1234
0.1670
Average equity attained from the opening roll = 0.0000
Average equity attained from winning the opening roll = 0.0393
Median equity attained from winning the opening roll = 0.0102

In the gammonlife.com forum there is a post from a Jakob Garal, Dr.Eng. His own site is www.fairbg.com and he thinks that the vagaries of winning the opening roll are so unfair that we need an entirely new system -- his system -- for scoring match play.

His suggestions are going nowhere, certainly, but in the category "if it ain't broke, don't fix it" I'm wondering if anyone's given any thought to the probability of fairness of the distribution of the opening roll.

Messages In This Thread

• The Opening Bell Curve
  Daniel Murphy -- Monday, 4 June 2007, at 2:36 p.m.
  • The Opening Bell Curve
    Bob Koca -- Monday, 4 June 2007, at 6:10 p.m.
    • The Opening Bell Curve
      Daniel Murphy -- Monday, 4 June 2007, at 6:38 p.m.
      • The Opening Bell Curve
        Gregg Cattanach -- Monday, 4 June 2007, at 7:17 p.m.
        • The Opening Bell Curve
          Daniel Murphy -- Monday, 4 June 2007, at 7:23 p.m.
          • The Opening Bell Curve
            Bryce -- Monday, 4 June 2007, at 8:10 p.m.
            • The Opening Bell Curve
              Daniel Murphy -- Monday, 4 June 2007, at 8:19 p.m.
              • The Opening Bell Curve
                Bryce -- Monday, 4 June 2007, at 8:28 p.m.
  • The Opening Bell Curve
    Strato -- Monday, 4 June 2007, at 11:41 p.m.
    • The Opening Bell Curve
      Daniel Murphy -- Tuesday, 5 June 2007, at 1:27 a.m.
      • The Opening Bell Curve
        Chase -- Tuesday, 5 June 2007, at 5:37 p.m.
        • The Opening Bell Curve
          Bob Koca -- Tuesday, 5 June 2007, at 7:00 p.m.
          • The Opening Bell Curve
            Chase -- Tuesday, 5 June 2007, at 8:24 p.m.
            • The Opening Bell Curve
              Bob Koca -- Tuesday, 5 June 2007, at 11:08 p.m.
              • The Opening Bell Curve
                Chase -- Tuesday, 5 June 2007, at 11:34 p.m.
        • The Opening Bell Curve
          Daniel Murphy -- Tuesday, 5 June 2007, at 7:31 p.m.
  • The Opening Bell Curve
    Chuck Bower -- Tuesday, 5 June 2007, at 12:36 a.m.
    • PYHOOYA?
      DC-Ohio -- Tuesday, 5 June 2007, at 12:38 a.m.
      • PYHOOYA?
        Chuck Bower -- Tuesday, 5 June 2007, at 12:52 a.m.
    • bell curve?
      garyo -- Tuesday, 5 June 2007, at 5:03 p.m.
      • bell curve?
        Chuck Bower -- Wednesday, 6 June 2007, at 5:20 p.m.
        • bell curve?
          Tom Keith -- Wednesday, 6 June 2007, at 6:05 p.m.
          • 1931 rules
            Chuck Bower -- Wednesday, 6 June 2007, at 6:29 p.m.
  • "fair gammon??
    garyo -- Wednesday, 6 June 2007, at 2:33 p.m.
  • The Opening Bell Curve (some more data)
    funk17 -- Thursday, 7 June 2007, at 3:24 p.m.

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