In: Statistics and Probability
Two marbles are drawn at random and with replacement from a box containing 2 red, 3 green, and 4 blue marbles. Let's define the following events: A = {two red marbles are drawn} B = {two green marbles are drawn} C = {two blue marbles are drawn} D = two marbles of the same color are drawn}
Find the probabilities of the following events:
(a) P(A), P(B), P(C), and P(D).
(b) P(A|D).