From Paper 3: Pure and Statistics
136 marks
Events A and B are such that P(A) = 0.4, P(B) = 0.5, P(A ∩ B) = 0.15.
(a) Find P(A ∪ B).
(b) Find P(A | B).
(c) Determine, with a reason, whether A and B are independent.
(d) Find the probability that neither A nor B occurs.