MathDB

Let there be a tiger, William, at the origin. William leaps

1

unit in a random direction, then leaps

2

units in a random direction, and so forth until he leaps

15

units in a random direction to celebrate PUMaC’s 15th year. There exists a circle centered at the origin such that the probability that William is contained in the circle (assume William is a point) is exactly

1/2

after the

15

leaps. The area of that circle can be written as

A\pi

. What is

A

Problem Statement