Oh man, after all those stupid "d'oh!" questions, you guys are totally asking for this one. You're driven me to unleash the dreaded
Three Doors Problem!
The Three Doors problem, also known as the Monty Hall problem: Say you're a contestant on a game show. There are three doors. Behind one door is a prize. Only the host knows which door has the prize behind it.
You get to pick a door. The host then picks another door (one without a prize behind it) and opens it. He then offers you the chance to stick with your original choice, or switch your choice to the remaining unopened door.
So the question is: What gives you a better chance of winning? Staying, or switching?
There are no tricks or gimmicks to the phrasing of this puzzle. It's a straight exercise in statistics. Those of you who already know this one... shhhh! :wink: