An item is manufactured by three machines A, B and C. Out of hte total number of items manufactured during a specified period, 50% are manufacture on machine A, 30% on B and 20% on C. 2% of the items produced on A and 2% of items produced on B are defective and 3% of these produced n C are defective. All the items stored at one godown. One item is drawn at random and is found to be defective. What is the probability that it was manufactured on machine A?

Explanation

`P(A)=0.5`

`P(B)=0.3`

`P(C)=0.2`

`D` denotes defective.

`P(D/A)=0.001`

`P(D/B)=0.05`

`P(D/C)=0.07`

Using Bayers theorem,

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