Suppose that X1, X 2, X 3 are independent U (0, 1)-distributed random vari- ables and let (X (1), X13): X (3)) be the corresponding order statistic. Com- pute P(X(1) + 37(2) 3* 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