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Five friends are playing a game. The name of the 5 friends are written in 5...

Five friends are playing a game. The name of the 5 friends are written in 5 pieces of paper and put in a box. Each person draws a name at random, without replacement, and has to buy a gift for the friend whose name she drew. If a person draw her own name, she does not have to do anything. What is the probability that no one draws her own name?

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