A manufacturer has three machine operators and

MATHEMATICS · Subjective · CBSE · Mathematics · Probability · Probability

Problem

11. A manufacturer has three machine operators

A, B

and

C

. The first operator

A

produces

1 \%

defective items, where as the other two operators 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 for

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 ?