Given that the events A and B are such that P(A) = 1/3, P(B) = 1/4, and P(A ∩ B) = 1/12. Find k if:
(a) A and B are mutually exclusive.
(b) A and B are independent.
a) k = 1/3
b) k = 1/4
c) k = 1/2
d) k = 1/6