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Wastage in the one-checker model

Posted By: Maik Stiebler
Date: Tuesday, 4 May 2010, at 9:21 p.m.

In Response To: Wastage in the one-checker model (Fabrice Liardet)

After solving Sam's exercise (which I could only do (kind of) after reading Walter Trice's article "Why 7n+1" on Gammonvillage), I think

Limit Wastage = (V/A + A - 1)/2,

with V=variance and A=average number of pips. Of course, this is only true if there is convergence. One requirement is that the greatest common divisor of all possible numbers of pips in a roll is 1.

Messages In This Thread

• Wastage in the one-checker model
  Fabrice Liardet -- Tuesday, 4 May 2010, at 8:50 a.m.
  • Wastage in the one-checker model
    Sam Pottle -- Tuesday, 4 May 2010, at 9:23 a.m.
    • Wastage in the one-checker model
      Rich Munitz -- Wednesday, 5 May 2010, at 4:38 a.m.
  • Wastage in the one-checker model
    Maik Stiebler -- Tuesday, 4 May 2010, at 9:21 p.m.
    • Wastage in the one-checker model
      Bob Koca -- Tuesday, 4 May 2010, at 9:26 p.m.
      • Wastage in the one-checker model
        Maik Stiebler -- Wednesday, 5 May 2010, at 3:02 a.m.
    • Wastage in the one-checker model
      Fabrice Liardet -- Wednesday, 5 May 2010, at 12:23 p.m.
      • Wastage in the one-checker model
        Maik Stiebler -- Wednesday, 5 May 2010, at 12:41 p.m.
        • Wastage in the one-checker model
          Fabrice Liardet -- Thursday, 6 May 2010, at 8:31 a.m.
          • Wastage in the one-checker model
            Maik Stiebler -- Thursday, 6 May 2010, at 11:06 a.m.
            • Wastage in the one-checker model
              Fabrice Liardet -- Thursday, 6 May 2010, at 11:42 a.m.