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Wastage in the one-checker model

Posted By: Fabrice Liardet
Date: Tuesday, 4 May 2010, at 8:50 a.m.

Is there a neat way to compute the pip wastage in the one-checker model, with the length of the race large enough (or tending to infinity) ? Maybe in terms of the mean roll and some kind of variance ?

I toyed a bit with simple models with only two different rolls, and it looks like when the mean roll is large enough, the wastage will always have to be approximatively between mean/4 (for minimal variance) and mean/2 (for maximal variance). Is that correct ?

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