The Monty Hall Problem
I feel like arguing. So here’s a classic Game Theory problem I heard at Rowan that we can argue about:
You’re on a gameshow and you have to pick between three doors. One door contains a car, the other two doors contain goats. You pick a door and the host opens another door, revealing a goat, and offers you a chance to switch doors.
Do you switch? If so, what is the probability of being correct? If not, what is the probability of being correct?