Two marbles are drawn at random and without replacement from a box containing 2 red, 4 green, and 7 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)

f. P(B|E)