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.