Answer
P(A^{c}) = 3 x 1/12 + 18 x 1/36
= 1/4 + 1/2
= 3/4
P(B^{c}) = 18 x 1/36 = 1/2
P(A∩B) = P(A) = 3 x 1/12 = 1/4
P(AUB) = P(B) = 1/2
P(A|B) = P(A∩B)/P(B) = 1/4 / 1/2 = 1/2
P(B|A) = P(A∩B)/P(A) = 1/4 / 1/4 = 1
Work Step by Step
As given in answer