A and B are events in a sample space S such that P(A)= 0.6 and P(B) = 0.5 and P(A and B) = 0.3. a) Draw a Venn diagram showing overlapping sets A and B and fill in the probabilities of the four regions formed. b) Find the probability that A occurs but B does not. c) Find the probability that B occurs but A does not. d) Find the probability that neither A nor B occurs. e) Are events A and B independent? (That is, does P(A/B) = P(A)?)
