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A manufacturer has three machine operato...

A manufacturer has three machine operators A,B and C. The first operator A produces `1%` defective items,whereas the other two operator B and C produce `5%` and `7%` defective items respectively. A is on the job for `50%` of the time,B is on the job 30`%` of the time and C is on the job for `20%` of the time. A defective item is produced,what is the probability that it was produced by A?

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