You have entered a game show, and have even made it to the final! Now, the game show host asks you to pick one of three doors. Behind one of those three doors is a big fucking prize, behind the others - nothing.
So, you make your pick. Now, the game show hosts says he'll make things even easier for you, and opens one of the doors you didn't pick with nothing behind it.
He tells you that you are still allowed to switch doors, if you so desire.
What do you do, and why do you do it? Do you switch or stick with your choice? In other words, what gives you the highest chances of getting the prize?
