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The porbability of men getting a certain...

The porbability of men getting a certain disease is `(1)/(2)` and that of women getting the same disease is `(1)/(5)`. The blood test that identifies the disease gives the correct result with probability `(4)/(5)`. Suppose a person is chosen at randon from a group of 30 males and 20 females, and the blood test of the person is found to be positive. What is the probability that the chosen person is a man ?

A

`75/107`

B

`3/5`

C

`12/19`

D

`3/10

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KVPY PREVIOUS YEAR-SOLVED PAPER 2018-EXAMPLE
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