The Problem
You're on a game show with 3 doors. Behind one is a car; behind the others, goats. You pick a door. The host, who knows what's behind each door, opens another door showing a goat. Should you switch to the remaining door or stay with your choice?
Stay Strategy
1/3
33.33% win rate
Switch Strategy
2/3
66.67% win rate
Stay Wins
Switch Wins