You work in the marketing team of a big pharmaceutical company that recently developed a genetic rapid test for a certain food intolerance.

You prepare for a presentation and you are quite sure, that someone in the audience will come.

You know from previous research, that only 1% of the population has this food intolerance.

In this case, the test result is positive with a probability of 80% but the test also gives a false positive result with a probability of 9.6%.

Given the test result is positive, what is the probability that one of my patients really suffers from food intolerance?