Question: You toss two dice and compute the “difference,” which you will define to be the larger top number minus the smaller top number if the numbers are different, and 0 if the numbers are the same.

(a) How many equally likely elements are there in the sample space of all tosses of two dice?

(b) List all outcomes in the sample space that correspond to the event Z = the difference is 0.

(c) Find P(Z) = P(difference is 0).

(d) Find the probability that the difference is 6

(e) Find the probability that the difference is greater than 0.

(f) Find the probability that the difference is 5.