The Monty Hall Paradox (or Problem) is one of the most fascinating and counterintuitive probability dilemmas. Now, with our app, you can experience and solve it for yourself.
Imagine you're on a game show:
You're faced with three closed doors. Behind one is a car, and behind the other two are goats.
You choose one of the doors.
The host, who knows where the car is, opens one of the other two doors you haven't chosen, revealing a goat.
Then, they offer you a choice: Do you keep the door you initially chose or switch to the other, closed door?
At first glance, it may seem like the odds are 50/50, since there are only two doors left. However, mathematical logic shows that this isn't the case.
Our app allows you to simulate this game as many times as you like. Play with the strategy of keeping the initial door, and in another round, with the strategy of switching doors. As you increase the number of attempts, you'll see how the odds of winning approach:
1/3 (around 33.3%) if you stick with your first choice.
2/3 (around 66.7%) if you decide to switch.
This visualization helps you understand why the switching door strategy doubles your chances of success. It's a perfect educational tool for students, statistics buffs, or simply anyone curious about logic and critical thinking. Download it now and solve the Monty Hall dilemma once and for all!