Monty's Dilemma

The Question...

Monty Hall has randomly placed a car behind one of three closed doors. There is a goat behind each of the other two doors. "First you choose a door by pointing to it," he explains. "Then I will open one of the other doors to reveal a goat. After I've shown you the goat, you can switch doors or keep your original choice, and you win whatever is behind that door you choose."

You point to Door #1. Mr. Hall opens Door #3 to show you a goat. Now there are two closed doors remaining, and you have to make your choice: Do you stick with Door #1? Or do you switch to Door #2?

The Answer...