On a lazy afternoon, as I was getting ready to do something in my research, I got this forward from Deepak Challa. Post your answers in the comments.
The question reads thus:
You are on a game show.
The host tells you, ‘I want you to open one of these three doors. Behind two of the doors is a bale of hay. Behind one of the doors is a million dollars. Choose a door’.
You choose door number one.
The host, who knows what is behind each door, says, ‘Before I open door number one for you, let me show you what is behind door number two’.
He opens door number two, revealing a bale of hay and then says, "Now I can open door number one for you, or if you want, you can switch doors and choose door number three, what do you want to do?"
What should you do, and why? Or does it even matter what you do?