Consider an experiment involving a Red and a Black die. One of the two dice is selected at random, and then the selected die is rolled.

(a) Let C = {R, B} and G = {1, 2, 3, 4, 5, 6}. Find C X G = S, the sample space for the above experiment.

(b) Display this sample space in graphic form.

(c) Find the elementary events (which are also joint events) making up the following events, and also the probability of these events:

(i) the die selected is R and comes up with an even number

(ii) the die selected is black and comes up either with an odd num¬

ber or a 6