# Suppose that X_1, X_2, X_3 are independent U (0, 1)-distributed random variables and let (X_(1), X_(

Suppose that X_1, X_2, X_3 are independent U (0, 1)-distributed random variables and let (X_(1), X_(2), X_(3)) be the corresponding order statistic. Compute P(X_(1) + X_(2) > X_(3)). Remark. A concrete example runs as follows: Take 3 sticks of length 1, break each of them uniformly at random, and pick one of the pieces from each stick. Find the probability that the 3 chosen pieces can be constructed into a triangle.