Suggest a random experiment of throwing two fair dice together.
(a) Explain 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).