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OK, I'll bite. I don't get it.

Posted By: Bob Koca
Date: Sunday, 31 July 2011, at 7:34 p.m.

In Response To: OK, I'll bite. I don't get it. (adambulldog)

Yes. Note that an EPC cannot be irrational:

1) There is an integer N that is an upper bound for the number or rolls that will be needed.

2) If one looks at each of the 36^N equally likely possibilities for the next N rolls each can be assigned to how many rolls it caused the position to be borne off in.

3) Thus the probability of a position requiring A rolls has the form of an integer/ (36^N) for each A.

4) The EPC calculation is (49/6) X [summation over A of A x(Pr(takes A turns)]. Since a product of rational numbers is rational and a finite sum of rational numbers is rational an EPC must be rational. 5 X pi/3 is not.

Messages In This Thread

• test your EPC intuition
  Bob Koca -- Sunday, 31 July 2011, at 12:57 a.m.
  • test your EPC intuition
    Stick -- Sunday, 31 July 2011, at 1:06 a.m.
  • test your EPC intuition
    Taper_Mike -- Sunday, 31 July 2011, at 2:57 a.m.
  • test your EPC intuition
    BenF -- Sunday, 31 July 2011, at 3:37 a.m.
  • test your EPC intuition
    neilkaz -- Sunday, 31 July 2011, at 4:54 a.m.
  • test your EPC intuition
    Matt Cohn-Geier -- Sunday, 31 July 2011, at 6:52 a.m.
    • test your EPC intuition
      Bob Koca -- Sunday, 31 July 2011, at 7:01 a.m.
      • test your EPC intuition
        BenF -- Sunday, 31 July 2011, at 7:02 a.m.
        • OK, I'll bite. I don't get it.
          adambulldog -- Sunday, 31 July 2011, at 6:48 p.m.
          • OK, I'll bite. I don't get it.
            Bob Koca -- Sunday, 31 July 2011, at 7:34 p.m.
            • OK, I'll bite. I don't get it.
              DanielP -- Monday, 1 August 2011, at 11:41 a.m.
  • test your EPC intuition
    Udo Moerschbach -- Sunday, 31 July 2011, at 1:01 p.m.
  • test your EPC intuition
    Golden -- Sunday, 31 July 2011, at 3:42 p.m.
  • test your EPC intuition/ SPOILER
    Bob Koca -- Sunday, 31 July 2011, at 7:40 p.m.