Landmark computer science proof cascades through physics and math
In high school our math teacher introduced a problem that could not be solved, which involved a TV-show game where the contender would choose one of 3 doors, and if there was something behind it, the contender would win it. But the show host would remove one of the doors without something behind it, and ask the contender if he/she would like to switch door.<p>I simply simulated the game on a computer one million times which revealed that changing the door after the host removed a empty one had a 66% probability of winning. (rather then 50%) but the teacher wouldn't believe me...