An automobile insurance company has a block of one-year car insurance policies. The policies are divided into three classes: A, B, and C. A randomly chosen policy has 40% chance of being in class A, 10% in class B, and 50% in class C. The probability that a policy will produce a claim is 20% in class A, 10% in class B and 5% in class C. A class of policies (i.e., either class A, or class B, or class C) is chosen at random, with probability of being chosen proportional to the random chance of a policy being chosen from class (i.e., 40% for class A, 10% for class B, and 50% for class C) and five policies are selected at random from that class. It turns out that exactly one of the five policies produced a claim. What is the probability that these policies are from class A