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Monte Hall Problem

I first read about the Monte Hall problem in Skeptical Inquirer.

There was an article in Scientific American by Michelle vos Savant (oh the irony) about the problem.

Monte Hall was the game show host of "Let's Make a Deal"

There would be 3 doors with a curtain over them. Behind one curtain would be a prize like a car and behind the other two would be a Zonk (worthless prize).

The contestant would randomly pick a door, say Door #1. Monte would show a zonk behind say door #2. He would ask do you want to switch?

The intuition is that it doesn't matter, but actually switching improves your odds from 33% to 50%.

Many people couldn't accept this as true.

Let's build some code to show whether this is true or false.

Code to follow

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