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2011 AMC 10A Question 20

AMC10 · 2011 AMC 10A

Question 20

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?
  1. $\dfrac{1}{6}$
  2. $\dfrac{1}{5}$
  3. $\dfrac{1}{4}$
  4. $\dfrac{1}{3}$
  5. $\dfrac{1}{2}$