Consider a random experiment of throwing two fair dice
together.

(a) Describe the sample space S and assign probabilities to each
sample point in S.
(b) Let X be the random variable that corresponds to the sum of the
two dice. What are
the values that the random variable X takes?
(c) Find P(X = 8).
(d) Find P(X <= 4).
(e) Find P(X >= 3).