A box contains five slips of paper, marked $1, $1, $1, $10, and $25. The winner of a contest selects two slips of paper at random and then gets the larger of the dollar amounts on the two slips. Define a random variable w by w = amount awarded. Determine the probability distribution of w. as numbered 1, 2, 3, 4, and 5, so that an outcome of the experiment consists of two of these numbers.)