The Monty Hall problem: why switching doors doubles your chances
Monty Hall problem: why your brain says 50-50
One of the most famous mathematicians of the last century saw two closed doors and said 50-50. A computer had to show him he was wrong. Why does the Monty Hall problem fool even the best brains?
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Look at the two closed doors again. Your brain sees two doors and one car, so it gives each door half. The answer feels too obvious to check.
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Paul Erdős wrote more math papers than almost anyone in history, and he said 50-50 too. He changed his mind only when a friend made a computer play the game again and again.
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