I found a problem with the Monty Hall problem.

It starts out with 3 doors on 3 stages. Behind 1 door I am told there is a brand new car. And behind the other two doors is a goat. But they won't tell me which door is which.

They tell me that I can choose any door and I will win whatever is behind that door.

I choose door number one.

Then Monty Hall says "Show him what was behind door number 2!" and door number 2 opens and there is a goat!

Then Monty Hall says "Now... do you want to stick with your choice, or switch doors?"

And I say "Yes, I want to switch. I want to switch to the goat that you have shown me behind door number 2."