MathDB

A point

P

is chosen at random in the interior of a unit square

S

. Let

d(P)

denote the distance from

P

to the closest side of

S

. The probability that

\frac15\le d(P)\le\frac13

is equal to

\frac{m}{n}

, where

m

and

n

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

Problem Statement