Probability of Defect from Machine A

A company has two machines, Machine A and Machine B, which produce the same product. The probability that Machine A produces a defective product is $0.1$, while the probability that Machine B produces a defective product is $0.05$. If a product is randomly selected and found to be defective, what is the probability that it was produced by Machine A?

Assume that Machine A produces $60\\%$ of the total products and Machine B produces $40\\%$.