EMP Q.34

34Three machines M₁, M₂ and M₃ produce identical
items. Of their respective output 5%, 4% and 3%
of items are faulty. On a certain day, M₁ has
produced 25% of the total output, M₂ has produced
30% and M₃ the remainder. An item selected at
random is found to be faulty. What are the chances
that it was produced by the machine with the
highest output?

Option : C
Explanation : Let the event of drawing a faulty item from any of the machines be A, and the event that an item drawn at random was produced by Mi be Bi' To P (Bi/A) proceed as follows:
The highest output being from M₃ required probability
=

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