About This Tool
Based on the famous game show paradox, the Monty Hall problem reveals that switching doors after a host reveals a goat doubles your chance of winning. This calculator generalizes the puzzle to any number of doors, cars, and reveals.
Understand why switching doors gives you better odds in the classic Monty Hall probability puzzle.
Stay Probability
33.3%
Switch Probability
66.7%
With 3 doors, switching gives a 66.7% chance of winning, while staying gives only 33.3%. Switching doubles your odds when playing with 3 doors.
Based on the famous game show paradox, the Monty Hall problem reveals that switching doors after a host reveals a goat doubles your chance of winning. This calculator generalizes the puzzle to any number of doors, cars, and reveals.