I'm not sure how to best phrase this, but I'm not sure how to combine two probabilities (or if that even makes sense).
Assume that 5% percent of the population has a particular gene is 20 times more likely to become a professional athlete than those without. Considering all athletes, what percentage of them has this gene?
It seems like the percentage of athletes would be greater than 5%, but I'm not sure how to figure this out. Is this something that can be determined?
Note: This seems super simple, so it might have already been asked. I searched a lot, but I don't have the right language for this field yet.