In a bolt factory, machines A , B and C manufacture respectively 20%, 30% and 50% of the total bolts. Of their output 3,…

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.

[JEE Main 2023, 08 Apr (Shift 1)]