Hi James,

   If you use

P(A=5,B=3|p) = p^5 x (1-p)^3 x Choose(8,3)

which is the probability of A winning 5 times and B winning 3 times
given a known value for p. You have a combinatoric term 8 choose 3
which will cancel out in the final equation.

Substitute this into the equation bottom of p1177 you get the
equation bottom of 1178.


I hope that is correct (where are those flame retardant pants).

Adam




On Tue, 27 Apr 2010, James Stroud wrote:

>
> On Apr 27, 2010, at 3:08 AM, Colin Nave wrote:
>
> > Sean Eddy who is an author on the above link wrote what I regard as an
> > excellent intro to Bayesian statistics
> > ftp://selab.janelia.org/pub/publications/Eddy-ATG3/Eddy-ATG3-reprint.pdf
>
> To get the expression for E(Bob wins) (3rd equation on page 1178),
> Eddy does some "algebraic rearrangement". It's not obvious what is
> getting rearranged. Does anyone have a clue?
>
> James

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