Alice and Bonnie are practicing archery. The probability that Alice hits a given target is , while the probability that Bonnie hits a given target is . Assume these probabilities are independent. Alice and Bonnie aim at a single target and fire at the same time. a) If the target was hit, what is the probability that it was hit by both Alice and Bonnie? b) If the target was hit, what is the probability that it was hit by Bonnie? Show all your work , preferably in a contingency table