AMC 12B 2003 Problem 25

Three points are chosen randomly and independently on a circle. What is the probability that all three pairwise distances between the points are less than the radius of the circle?

Answer Choices
A. \dfrac{1}{36}
B. \dfrac{1}{24}
C. \dfrac{1}{18}
D. \dfrac{1}{12}
E. \dfrac{1}{9}