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Tuesday, 14 October, 2008

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Let's Make a Deal Strikes Again

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Dr Math answers a reader question and explains why the puzzle works the way it does.

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Title: Math Forum - Ask Dr. Math
Description:

There are three cups, one of which is covering a coin. I know the whereabouts of the coin, but you don't. You pick a cup, and I take one of the remaining cups, one which DOESN'T contain a coin. Both you and I know the cup I pick doesn't contain a coin. You then have the option to swap your cup with the third, remaining cup, or keep your first choice. What is the probability of the coin being in the cup if you keep your first choice, or if you decide to swap them?

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