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Details at a factory are tested randomly to check if they are faulty. It is known from previous experience that the probability of a

faulty detail is known to be 0.03. If a faulty detail is tested the probability of it testing faulty is 0.82. If a non-faulty detail is

tested the probability of it testing faulty is 0.06. Given that the detail was tested as not been faulty, calculate the

probability that it was faulty.

I understand that it's about conditional probability, but can't get it.

Thanks!