#7: What’s Behind Door #1?
One of the fascinating things about math and science is that sometimes, they prove things to be true that we never would have figured out just by using logic and reason. One of these is the Monty Hall Problem, which you should look up, as I don’t think I can explain it in the space we have.
It’s a pretty confusing problem that has to do with how probabilities change as you get more information; I’ve read the explanation so many times, and I still don’t really understand it. And in fact, a lot of people have refused to believe it, even after it’s been explained to them countless times.