In a manufacturing process, all the parts were produced on either one of two machines; Machine A or Machine B. It is known that 30% of the parts were produced on Machine A. It has been found that 2% of parts produced on Machine A, are defective while if the part was produced on Machine B, the probability that it was defective is 1%.
If one part is selected at random,
Given that the part selected is defective, what is the probability that the part was produced on Machine B?
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