A factory has 3 machines of type A and 2 machines of type B. Machine A can produce a shirt with a probability that the shirt is not defective is 0.9. Machine B can produce a shirt with a probability that the shirt is not defective is 0.8. If a machine is selected and 5 shirts are produced (the probabilities of producing each shirt are independent), determine the probability that the machine is machine B, given that 2 out of 5 shirts produced are defective.

The answer is 0,6519 please explain why??