Problem 17 Solution
Lets consider the dartboard in polar coordinates. The dart can land at any angle relative
to the center with equal probability. Next take the intregral from the least to the greatest
distance, 0 to 1. The density function at distance d is 2*pi*d/pi = 2d. So the answer is:
Integral from 0 to 1 of d*2d = 2d3/3 from 0 to 1 = 2/3.
Michael Shackleford, A.S.A.