🎰 Monty Hall Problem
A classic probability puzzle that defies intuition
Pick a door to start!
Cumulative Results
Stay Wins
0
0%
Switch Wins
0
0%
Total Games
0
Auto Simulation
Automatically run multiple games to see the probabilities in action!
How it Works
The Monty Hall problem is a famous probability puzzle based on a game show scenario. Behind one door is a car (the prize), and behind the others are goats.
- You pick a door
- The host (who knows what's behind each door) opens one of the remaining doors to reveal a goat
- You can now choose to stay with your original choice or switch to the other unopened door
Counterintuitively, switching doubles your chances of winning! With 3 doors, staying gives you a 1/3 chance of winning, while switching gives you a 2/3 chance.