Pick a Door
The luxury car is waiting…
Test your luck and logic with the Monty Hall Paradox game! Will you stay or switch? Experience the famous probability puzzle with smooth animations, real-time win stats, and a guide on how to double your chances. Play the ultimate Monty Hall simulation now.
How to Play Monty Hall Problem Game
1. The Pick Choose any door. You have a 1 in 3 chance of hitting the Car 🚗.
2. The Reveal The host opens another door to reveal a Goat 🐐. You are now left with your door and one other closed door.
3. Switch or Stay? This is the game-changer. You must decide:
- Stay: Keep your original door.
- Switch: Move to the other closed door.
Monty Hall Problem
There are 3 Doors:
- Door 1: Goat 🐐
- Door 2: Goat 🐐
- Door 3: Car 🚗
The 3 Steps
- You Pick: You choose one door (e.g., Door 1). You have a 1/3 chance of being right.
- The Reveal: The host (Monty), who knows what’s behind the doors, opens a different door to show a Goat (e.g., Door 2).
- The Choice: Monty asks: “Do you want to Stay with your door or Switch to the other closed one?”
The Math (Why You Should Switch)
Most people think it’s a 50/50 guess at the end. It’s not.
- If you Stay: You only win if you were right on your very first guess. Odds: 33.3%.
- If you Switch: You win if your first guess was wrong. Since you were wrong 2 out of 3 times at the start, switching wins 66.6% of the time.
The Bottom Line: By switching, you essentially “steal” the odds of the two doors you didn’t pick at the start. Always switch.