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}