An urn contains two white balls and one black ball. Two balls are withdrawn from the urn one after another. Let X be the number of white balls in the first withdrawal. Let Y be the number of white balls in both withdrawals. 1. Compute Pr(X = x; and Y = y;) for all possible values of x and y. 2. Compute the distribution of X * Y. 3. Compute E(XY) and E(X) * E(Y). Are these two values equal?