Hereâs one that has fooled some pretty bright people (took me a while to understand it). Imagine that there is a game show with three doors in front of you (all are closed). Behind one door is the real prize and behind the other two are losers. You pick a door. The host opens a different door to show a booby prize (you knew before hand that the host would open a door to show a loser). This leaves two closed doors, the one you picked and another one. The host gives you an opportunity to switch doors. The question is, should you switch doors? What are the odds? It's my understanding that this was how Let's Make a Deal worked (a popular game show in the USA way back when).