Monty Hall problem

Three doors problem

Imagine you're on a game show and have to choose one of three doors to win a car. Behind one of the doors is a car, behind the other two are goats. You choose a door, and the host opens a door to reveal a goat. He then offers to let you switch doors. Is it a good idea to change your choice ? Short answer: yes.

Here's why: one door has a one-third chance of winning, while the other two doors combined have a two-thirds chance of winning. When one of those two doors is opened, the chance of winning shifts to the remaining door.

In this example, 🟠Player 1 always sticks to his decision, and 🟢Player 2 always changes his decision.
Note: I have added a virtual 🟡Player 3 who makes his decision only when there are two doors left.
All decisions are made by a random number generator.

▼ Try it yourself ▼

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