There is an epidemic. A person has probability 0.01 of having the disease. The authorities decide to test the population, but the test is not completely reliable. The sensitivity of the test is 0.98 and the specicity of the test is 0.95. Patrick was tested positive for the disease, what is the probability that Patrick has the disease (rounding o to 3 decimal places)?

I worked this out to 0.165, which is correct.

Patrick wants a second opinion: an independent repetition of the test (regardless of Patrick's disease status, outcomes of tests are independent). He went for a second test and was tested positive again. What is the probability that Patrick has the disease?

I don't know how to approach this.