The 3 events A, B and C have probabilities
P(A) = 0.6, P(B) = 0.8, P(C) = 0.25
The events A and B are independent, the events A and C are mutually exclusive and P(A ∪ B ∪ C) = 1
(a) Find
(i) P(A ∩ B)
(ii) P(A ∩ C)
(b) Draw a Venn diagram to show the events A, B and C and all the associated probabilities.
(d) State, giving a reason, whether or not the events B and C are independent.