Consider two independent throws of a fair dice. For the pair of discrete random variables X, Y given below, describe the joint p.m.f. of (X, Y ) by listing all the possible values of p(ai , bj ) = P(X = ai , Y = bj ). 1. X denotes the outcome of the first throw and Y denotes the maximum of the two throws. 2. X denotes the minimum and Y denotes the maximum of the two throws.