Question

Suppose a free medical test is given for a certain disease. The test is 90% reliable in the following sense: If a person has the disease there is a probability of 0,9 that the test will give a positive response; whereas, if a person does not have the disease, there is a probability of only 0,1 that the test will give a positive response. Data indicate that your chances of having the disease are only 1 in 10000. You decide to undergo the test and a few days later you learn that you had a positive response from the test. What is now the probability that you have the disease?​

Answer 1

Explanation:

Answer 2

• P(Person has disease)=0.9
• P(Person doesn't have the disease)=0.1

Your chances of having the disease:-

• 1/10000
• 0.0001

So your current probability:-

• 0.0001(0.1)
• 0.00001