JEE Math Practice Question
In a bolt factory, machines $$A, B$$ and $$C$$ manufacture respectively $$20 \%, 30 \%$$ and $$50 \%$$ of the total bolts. Of their output 3, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product. If the bolt drawn is found the defective, then the probability that it is manufactured by the machine $$C$$ is :
- A.$$\frac{2}{7}$$
- B.$$\frac{9}{28}$$
- C.$$\frac{5}{14}$$
- D.$$\frac{3}{7}$$
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