AMC 12A 2016 Problem 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?

Answer Choices
A. \dfrac{1}{6}
B. \dfrac{1}{3}
C. \dfrac{1}{2}
D. \dfrac{2}{3}
E. \dfrac{5}{6}