MathDB

A coin that comes up heads with probability

p > 0

and tails with probability 1\minus{}p > 0 independently on each flip is flipped eight times. Suppose the probability of three heads and five tails is equal to

\frac{1}{25}

of the probability of five heads and three tails. Let p \equal{} \frac{m}{n}, where

m

and

n

are relatively prime positive integers. Find m\plus{}n.

Problem Statement