Suppose there is a test to diagnose a certain rare disease that affects 1% of the population. The doctor performs a test

[answerhappygod]

Suppose there is a test to diagnose a certain rare disease that
affects 1% of the population. The doctor performs a test with 99%
reliability – that is, 99% of people who have the disease test
positive and 99% of the people without the disease test negative.
For people with the disease, the test gives a positive diagnosis
99% of the time. Suppose you are tested and the result comes back
positive. What is the probability that you actually have the
disease?