probability question

From: salsaman <salsaman@xxxxxxxxx>
Date: Tue, 15 Jan 2008 04:58:21 -0800 (PST)

Hi,
I am trying to work out a formula for the following:

suppose I have a set of numbers {a0, a1, a2, a3, ..., an}. Each of
these numbers can take an integer value x from 0 to P, where the
probability of x is given by the binomial theorem for x successes in P
trials. In addition, the value of P decreases each time by the sum of
the preceding a's. (So for a0 it is P, for a1 it is P-a0, for a2 it is
P-a1-a0, etc).

What I would like to know is, what is the probability that the sum of
the set is y, where 0 < y <= P ?

Any help appreciated,
Salsaman.

.

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