I teach this stuff (biomedical engineering statistics) to undergrads. The hardest thing for them with probability is false positives. conceptually it does not

I teach this stuff (biomedical engineering statistics) to undergrads. The hardest thing for them with probability is false positives. conceptually it does not seem to align well with how the human brain works. I've had students literally get so frustrated the cry because they know what the math says but can't accept that you can test positive for a disease and not have it. They know they are wrong but it's just this weird sticky misconception.