Date: Feb 14, 2013 1:13 PM
Author: Jussi Piitulainen
Subject: Re: probability question about the dice game

Ray Vickson writes:
> On Thursday, February 14, 2013 9:31:48 AM UTC-8, Jussi Piitulainen wrote:
[...]
> > Your final denominator is 6^8 for a problem involving four tosses.
> > I'd've expected 6^4. Should the denominator be only 6^2 for p[i]?
> >
> > And surely p[i] should be defined on 1, ..., 6, not on 2, ..., 12.
> > The latter looks like the probability of a sum instead of a max.

[...]
> A single toss of TWO dice has denominator 36, so two tosses of two
> dice has denominator 36^2, and the difference between the two maxima
> has denominator 36^4. However, as stated in my previous post, I
> thought the question involved two tosse of 2 dice each, rather than
> two tosses of a single die. That mixup arose from language usage.


Now I see. Thanks for the explanation. I hadn't seen your later note
yet.