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What is the persistent question that for so long stole my peace of mind? It is the riddle of Monty Hall and the goat behind Door Number Three.
The so-called Monty Hall problem is a counter-intuitive statistics puzzle that goes as follows: You have to choose one of three doors. Behind one you will find a car; behind each of the others, you will find a goat. You pick Door #1, hoping for the car, of course. Monty Hall, the game show host, narrows your choices by opening Door #3 to reveal a goat. Then Monty offers you a choice: you can stick with your original door or switch to Door #2.
What should you do? Simple logic suggests that there is no advantage to switching doors. With the elimination of Door #3, your odds improve from one-in-three to even-money. It shouldn’t matter whether or not you switch: either way, you will still have a 50-50 chance.
But here human logic fails. By switching doors, you increase your odds from even money to two-thirds.
HERE’S WHY IT WORKS, AND WHAT IT MEANS TO US: