Two points on the circumference of a circle of radius r are selected independently and at random. From each point a chord of length r is drawn in a clockwise direction. What is the probability that the two chords intersect?

**Answer Choices**

A. \dfrac{1}{6}

B. \dfrac{1}{5}

C. \dfrac{1}{4}

D. \dfrac{1}{3}

E. \dfrac{1}{2}