A certain virus infects one in every 3000 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus, and 5% of the time if the person does not have the virus (false positive).
Find the probability that a person has the virus given that they have tested positive.
0.0056
A person that tests positive, gets a second test that is also positive. Find the probability that the person has the virus.
0.00741