Question

Let A and B be two events such that P(A∪B) = 1/6, P( A∩B) = 1/4 and P(bar(bar A)) = 1/4, where bar A  stands for complement of event A. Then events A and B are

(a) equally likely but not independent
(b) equally likely and mutually exclusive
(c) mutually exclusive and independent
(d) independent but not equally likely.

Answer 1

so even are independent but not equally likely as P(A) ≠ P(B).