It sounds like you're looking for problems in probability theory (rather than statistics). I don't have anything specific for you but you might have better luck

It sounds like you're looking for problems in probability theory (rather than statistics). I don't have anything specific for you but you might have better luck searching for problems, puzzles, and examples in probability. For instance: https://math.stackexchange.com/questions/2140493/counterintuitive-examples-in-probability https://math.stackexchange.com/questions/2140493/counterintu...