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A company produces 10000 items per day. On a particular day 2500 items were produced on machine A, 3500 on machine B and 4000 on machine C. The probability that an item produced by the machines A, B, C to be defective is respectively `2%,3%` and `5%`. If one item is selected at random from the output and is found to be defective, then the probability that it was produced machine C, is

A

`(10)/(71)`

B

`(16)/(71)`

C

`(40)/(71)`

D

`(21)/(71)`

Text Solution

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The correct Answer is:
C
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