3. A rare medical condition affects only 1 in 50,000 people in a specific population. A sophisticated diagnostic test for this condition has the following characteristics:

If a person has the disease, the test is \(99.5\%\) accurate in detecting it (sensitivity).
If a person does not have the disease, the test has a \(1.5\%\) false positive rate.
Two independent tests are performed on the same patient.

What is the probability (%) that a person actually has the disease, given that they tested positive on the first test and also tested positive on the second test? (20%)

(Note: You are asked to answer in percentages, counted to two decimal places.)