AMC 10B 2014 Problem 19

Two concentric circles have radii 1 and 2. Two points on the outer circle are chosen independently and uniformly at random. What is the probability that the chord joining the two points intersects the inner circle?

Answer Choices
A. \dfrac{1}{6}
B. \dfrac{1}{4}
C. \dfrac{2-\sqrt{2}}{2}
D. \dfrac{1}{3}
E. \dfrac{1}{2}