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Question

Mathematics Question on Probability

A bolt manufacturing factory has three products A, B and C. 50% and 30% of the products are A and B type respectively and remaining are C type. Then probability that the product A is defective is 4%, that of B is 3% and that of C is 2%. A product is picked randomly picked and found to be defective, then the probability that it is type C.

A

433\frac{4}{33}

B

133\frac{1}{33}

C

233\frac{2}{33}

D

933\frac{9}{33}

Answer

433\frac{4}{33}

Explanation

Solution

The correct option is (A): 433\frac{4}{33}