Suppose that a random experiment consists of randomly selecting one of four coins C1, C2, C3, and C4, tossing it and observing wheter a head or tail occurs. Further suppose that the coins C1, C2, and C3 are biased such that the probabilities of a head occuring for coins C1, C2, and C3 are 0.9, 0.75, 0.60, respectivley, while the fourth coin C4 is a fair coin.
A. If the outcome of the experiment was a head, find the probability that coin C2 was tossed.
B. If the outcome of the experiment was a tail, find the probability that the coin C4 was tossed.