Even though you have no symptoms, your doctor withes to test you for a rare disease that only 1 in 10,000 people of your age contract. The test is 98% accurate, which means that, if you have the...

Even though you have no symptoms, your doctor withes to test you for a rare
disease that only 1 in 10,000 people of your age contract. The test is 98%
accurate, which means that, if you have the disease, 98% of the times the test
will come out positive and 2% negative. Also, if you do not have the disease, the test will come out negative 96% of the time and positive 4% of the time. You take the test and it comes out positive. What is the probability that you have the disease?