JEE Advanced 2016 Mathematics question
A computer producing factory has only two plants and . Plant produces 20% and plant produces 80% of the total computers produced. 7% of computers produced in the factory turn out to be defective. It is known that (computer turns out to be defective given that it is produced in plant ) (computer turns out to be defective given that it is produced in plant ), where denotes the probability of an event . A computer produced in the factory is randomly selected and it does not turn out to be defective. Then the probability that it is produced in plant is
Answer: (C)
Solution
Let , so . Total probability: . Then and \bar$
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