A test for detection of a particular disease is not fool proof. The test will correctly detect the disease `90%` of the time, but will incorrectly detect the disease `1%` of the time. For a large population of which an estimated `0.2%`  have the disease, a person is selected at random, given the test, and told that he has the disease. What are the chances that the person actually have the disease?

Explanation

Let, `A =` person has disease


`E_1 =` tests is correct


`E_2 =` test is wrong



Given,


`P(E_1) =90/100`


`P(E_2) =1/100`


`P(A//E_1) =2/1000`


`P(A//E_2) =998/100`



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