Probability · Class 12 · CBSE · Science Mathematics
A product is manufactured by machines M1, M2 and M3 in proportions 30%, 45% and 25%, respectively. Their respective defect rates are 2%, 3% and 5%. I…
Practice question from Probability (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
hard · MCQ · Q-0C16EB
A product is manufactured by machines M1, M2 and M3 in proportions 30%, 45% and 25%, respectively. Their respective defect rates are 2%, 3% and 5%. If a randomly selected product is found to be defective, what is the probability that it was manufactured by M3?
- A.25/64Correct answer
- B.5/16
- C.25/32
- D.5/8
Solution
Using Bayes' theorem, .
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