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Merry Christmaths: the statistics of Secret Santa

imageStokkete/Shutterstock

Last Christmas, my family gathered to organise our Kris Kringle. My sister drew her husband, but they were already buying presents for each other, so we decided to draw again. No one in my family (except me) is particularly interested in mathematics or statistics, but my brother fatefully asked:

What are the chances that all...

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