A specific article is produced by machines M1, M2, M3 and M4. The probability that a random article is produced by M1, M2 and M3 is 0.2, 0.3 and 0.1 respectively. The probability for each machine to produce defective articles is given as M1 = 0.03, M2 = 0.02, M3 = 0.04 and M4 = 0.01. What is the probability that a random article was made by M4, given that it is non-defective?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A specific article is produced by machines M1, M2, M3 and M4. The probability that a random article
is produced by M1, M2 and M3 is 0.2, 0.3 and 0.1 respectively. The probability for each machine to produce
defective articles is given as M1 = 0.03, M2 = 0.02, M3 = 0.04 and M4 = 0.01. What is the probability that a
random article was made by M4, given that it is non-defective?

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