Find the probability that somebody is healthy given that they have positive test result?
Problem
A disease is known to affect 1 in 10,000 people. A screening test for the disease shows a positive result for 99% of the people with the disease. The test also shows positive for 2% of people who do not have the disease. Find the probability that somebody is healthy given that they have positive test result?
| A. 99.51% | C. 46.32% |
| B. 12.32% | D. 78.36% |