eli5: how does the probability of something being wrong (e.g., a false negative on an at-home/rapid antigen test) change when you do the same test multiple times?

Question

if there is a 98% chance the results will be correct (making it ~1/50 times it will be incorrect), would taking the test twice make the chance of it being incorrect ~1/100? then after three times ~1/200? or would it not change at all and still be 1/50?

In: 0

Answer 1

Doesn’t change, the longer you repeat the study the closer to the real probability it gets. Probability is not exact and the sample would be way to small. If its a 1 in 50 then you need at least 50 samples