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.
Understanding this strategy can significantly increase your chances of winning the car in the Monty Hall problem.
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