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THE TEASER

You just dumped a bag of fruit into the deepest end of the fruit bin, and now you can’t see what you have. They’re all smooth skinned, and about the same size, so you can’t tell by touch either. You know you have five large plums, five nectarines, and five small smooth-skinned peaches. How many pieces of fruit must you take out to be absolutely sure of getting a plum?

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THE SOLUTION

If you want to be absolutely certain, you have to pick out eleven pieces of fruit. Your first ten might be five nectarines and five peaches, unlikely as that might be.

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