Switching wins 2/3 of the time
Monty Hall problem
Switching wins 2/3 of the time
When you initially choose a door, there's a 2/3 chance the car is behind one of the other two doors. Monty Hall, knowing what's behind the doors, always opens a door with a goat, which doesn't change the initial probabilities. Therefore, switching to the other unopened door increases your chances of winning the car.
Example
Suppose you choose door No. 1 and Monty opens door No. 3 revealing a goat. Initially, you had a 1/3 chance of picking the car and a 2/3 chance it was behind one of the other two doors. By switching to door No. 2, you now have a 2/3 chance of winning the car.
Remember this
Understanding this strategy can significantly increase your chances of winning the car in the Monty Hall problem.
Text adapted from Wikipedia, licensed under CC BY-SA 4.0.
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