Correctness of two corona test?
Let’s say a corona test is correct with p=0.8
. If I now take two tests. What’s the probability that I get a correct result?
I think thought of 0.8*0.8
, but that makes now sense, since it should not decrease and 0.8+0.8
gives a probability over 1, which makes no sense either. Or maybe that Bayes probability example?
Edit: I would like to extend my questions: What’s the probability that I am negativ with one and with two tests? There the probability with two should increase if I am actually negative? Thanks for the answers.
The probability that both tests are wrong is $(0.2)(0.2)=0.04$. Therefore, the probability that at least one of them is right is $1-0.04=0.96$.
This, if course, assumes that both tests are independent.