According to the laws of Aryan math the answer is (((Kauffman))).
I probably confuse "False positive rate" with something else.
I was thinking the prevalence is irrelevant to the question and the question could be rewritten as:
If a test to detect a disease
whose prevalence is 1 out of 1,000has a false positive rate of 5 percent, what is the chance that a person found to have a positive result actually has the disease?
cut
If a test to detect a disease has a false positive rate of 5 percent, what is the chance that a person found to have a positive result actually has the disease?
Question makes complete sense (no?) and 95% is the obvious answer.
Update:
I misunderstood false positive rate. A rate is per something, I assumed per positive test result but seems it's per all tests. That's right, right?