Latest Book Aptitude Question SOLUTION: In a Shirt factory, there are three processes named A,B, and C.They manufactures 25%,35%,40% of production respectively.of these 3%,4%,2% are defective.What is the probability the

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(#M40033851) BOOK Numerical Ability question Probability Keep an EYE

In a Shirt factory, there are three processes named A,B, and C.They manufactures 25%,35%,40% of production respectively.of these 3%,4%,2% are defective.What is the probability the randomly selected shirt is of the defective one produced by process C?

Asked In Book Ragavendra Prabhu T (10 years ago)

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Ravi kumar  (7 years ago)

To find: Probabiility (shirt is from Process C given that it is defective)
Solution:
P(C|defective) = P(C ∩ defective) / P(defective)
P(defective) = P(A and Defective) + P(B and Defective) + P(C and Defective)
= 0.0125+0.014+0.008
= 0.0345
P(C and Defective) = 0.008
So, desired probability = 0.008/0.0345 = 0.23188 = 16/69

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