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What is the Monty Hall problem?

Episode 785 14:26

In this episode

Imagine you are standing on a brightly lit game show stage! Three colorful doors are in front of you. Behind one is a shiny new car, but behind the other two... are live, chewing goats! You pick a door. Suddenly, the host opens a different door to reveal a goat! He smiles and asks: "Do you want to stick with your first choice, or switch?" What would you do? Most people think it’s a fifty-fifty chance and doesn't matter, but they are WRONG! In 1990, a puzzle genius named Marilyn vos Savant wrote that switching actually doubles your chances of winning! When she shared this secret, thousands of people—even math professors—wrote angry letters telling her she was making a huge mistake! But guess what? She was completely right! Even the brilliant mathematician Paul Erdős didn't believe it until he saw a computer play the game thousands of times. Tune in to find out how a simple clue can completely change your chances, and learn the mind-bending math secret behind the famous Monty Hall problem!

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