Here is a conditional probability pop quiz
let's say you're in a isolated tropical island (with enough people living there to use probability to estimate) with 0.1% (1/1000) of catching gonorrhea. there is a gonorrhea test avaliable at the island clinic with false positive rate of 5%. people are tested at random, regardless of whether they are suspected of having gonorrhea. A patient's test is positive. What is the probability of the patient being stricken with gonorrhea?