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2003 AMC 12B Question 25

AMC12 · 2003 AMC 12B

Question 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?
  1. $\dfrac{1}{36}$
  2. $\dfrac{1}{24}$
  3. $\dfrac{1}{18}$
  4. $\dfrac{1}{12}$
  5. $\dfrac{1}{9}$