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2016 AMC 12A Question 23

AMC12 · 2016 AMC 12A

Question 23

Three numbers in the interval $[0,1]$ are chosen independently and at random. What is the probability that the chosen numbers are the side lengths of a triangle with positive area?
  1. $\dfrac{1}{6}$
  2. $\dfrac{1}{3}$
  3. $\dfrac{1}{2}$
  4. $\dfrac{2}{3}$
  5. $\dfrac{5}{6}$