A famous problem in probability, using the game show "Let's Make a Deal", hosted by Monty Hall as a model. This problem was made famous by Marilyn vos Savant in a column in Parade magazine.

The problem is as such: There are three doors. Behind each is a prize. Two of the prizes are worthless, and the one remaining prize is valuable. Say two of the doors hide goats, and one door hides a new car.
Monty asks you to pick one of the doors, and you will win the prize behind it.

Here's the catch ... When you pick a door, Monty, knowing which door the car is behind, will open up a door with a goat behind it. For example, if you pick door #2, Monty will open up either door #1 or door #3, to reveal a goat.

Then you are asked if you want to switch your choice to the other unopened door. Is it advantageous to switch?

Monty Hall Problem Solution

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