A four-sided die is tossed twice. The difference of the outcomes is denoted by X
and the maximum value by Y .
(a) Find the joint PMF. Tabulate it (write it on a table.)
(b) Find the marginal PMFs.
I will do the first of these for you. Let the outcome of the first toss be x and that of the second be y. The event (0,1) can only occur if both x and y=1, which occurs with probability (1/6)(1/6)=1/36.