# 2.5% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 90.4% of those who have the disease test positive. However 4.1% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive?

###### Question:

2.5% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 90.4% of those who have the disease test positive. However 4.1% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive?

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