Please help with full explanation:

Two marbles are drawn at random and without replacement from a box containing 3 red, 5 green, and 10 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} E = {two marbles of different colors are drawn} Find the probabilities of the following events: (a) P(A) = (b) P(B) = (c) P(C) = (d) P(D) = (e) P(E) = (f) P(A | D) = (g) P(B | E) =