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Previous episode The Monty Hall problem: the game show puzzle almost 1,000 PhDs got wrong

The Monty Hall problem: why switching doors doubles your chances

Monty Hall problem odds: why switching wins 2 times out of 3

In the Monty Hall problem, switching doors wins the car 2 times in 3, though the last two doors look like a coin toss. You can check it yourself in a minute, with no formula at all.

  1. 1 Before each show, Rono hides the car behind door 1, 2 or 3, by chance. So each door gets the car 1 time in 3. You pick door 1.you?1?2?3Rono

    Before each show, Rono hides the car behind door 1, 2 or 3, by chance. So each door gets the car 1 time in 3. You pick door 1.

  2. 2 So only three games can happen. In these pictures, we can see behind the shut doors, as if they were glass. Follow each game to the end, and count who wins.game A123game B123game C123

    So only three games can happen. In these pictures, we can see behind the shut doors, as if they were glass. Follow each game to the end, and count who wins.

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