In a bolt factory machines A, B, C manufacture, respectively, 25, 35, and 40 per cent of

Question:

In a bolt factory machines A, B, C manufacture, respectively, 25, 35, and 40 per cent of the total. Of their output 5, 4, and 2 per cent are defective bolts. A bolt is drawn at random from the produce and is found defective. What are the probabilities that it was manufactured by machines A, B, C ?

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