Factory A produces 60% of a firm's items and has a defect rate of 2%. Factory B produces 40% and has a defect rate of 5%. Given that an item is defective, what is the probability it came from Factory B?
Correct answer: B. 0.625
- A. 0.400
- B. 0.625
- C. 0.625?
- D. 0.500
Explanation
Using Bayes' theorem, P(B | defective) = (0.40 × 0.05) divided by [(0.60 × 0.02) + (0.40 × 0.05)] = 0.625. The production share alone is not the required conditional probability.
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