MathDB

Dave rolls a fair six-sided die until a six appears for the first time. Independently, Linda rolls a fair six-sided die until a six appears for the first time. Let

m

and

n

be relatively prime positive integers such that

\frac{m}{n}

is the probability that the number of times Dave rolls his die is equal to or within one of the number of times Linda rolls her die. Find m\plus{}n.

Problem Statement