You're on the TV game show Let's Make a Deal. You choose door #1, behind which could be either a new car or a smelly goat. Monty Hall reveals that there is a goat behind door #2. You are given the option to switch doors to door #3, should you switch?

Question options:

No, the probability is 2/3's that the car is behind your original door.

Yes, the probability is 2/3's that the car is behind door #3.

No, now the probability is 1/2 that it could be in either door, so you should stay with the original door.

Yes, the probability is 1/2 that it could be behind door #3.

None of the above