MathDB

Tristan is eating his favorite cereal, Tiger Crunch, which has marshmallows of two colors, black and orange. He eats the marshmallows by randomly choosing from those remaining one at a time, and he starts out with

17

orange and

5

black marshmallows. If

\frac{p}{q}

is the expected number of marshmallows remaining the instant that there is only one color left, and

p

and

q

are relatively prime positive integers, find

p + q

Problem Statement