Question

A hospital is testing patients for a certain disease. If a patient has the disease, the test is designed to return a "positive" result. If a patient does not have the disease, the test should return a "negative" result. No test is perfect though.

90% of patients who have the disease will test positive.

10% of patients who don’t have the disease will also test positive.

20% of the population in question has the disease.

If a random patient tests positive, what is the probability that he/she has the disease?

Answer 1

let,us define the events as:-

D : the event that the patient has the disease

T : the event that the patient will test positive.

give data and some calculations:-

i).

ii).

iii).

If a random patient tests positive, the probability that he/she has the disease is:-

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