Two dice are rolled. Let X be the maximum number obtained. (Thus, if 1 and 2 are rolled, X = 2; if 5 and 5 are rolled, X = 5.) Assume that all 36 elements of the sample space are equally likely. Find the probability function for X. That is, find P(X = x), for x = 1, 2, 3, 4, 5, 6.