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Tables to Improve Your Game

Posted By: Bill Calton
Date: Monday, 15 March 2010, at 9:30 p.m.

In Response To: Tables to Improve Your Game (joe freedman)

Kleinman addresses this very question in "The Prime Leaping Problem" from Vision Laughs at Counting. In a sequence of math that is beyond my understanding, he derives the following formula for escaping a 5-prime when not at the edge.

X = 36(11+c) / 11(2+c)

X is mean shakes to escape

c is number of shakes to reach the edge.

So, needing a 1 and 6 to escape, you would plug in a value of 9 for c (Note the roll 16 escapes so the number of shakes to the edge is 9)

X = 36 (11+9) / 11 (2+9)

X = 720 / 121

X = 5.95 shakes

Bob Koca appears to be right, though again, I don't understand why!

Bill

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