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Question about probability...?

Suppose that each of 5 men in a room throws his hat into the center of the room. The hats are mixed up and then each man randomly selects a hat. What is the probability that exactly 3 men select their own hats?

3 Answers

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  • M3
    Lv 7
    1 decade ago
    Favorite Answer

    there are 5*4*...1 or 5! ways the hats can be selected

    there are 5C3 ways a group of 3 men

    [who select their own hat] can be formed

    thus required probability = 5C3/5! = 10/120 = 1/12

    Ans: 1/12

  • Anonymous
    1 decade ago

    I don't feel like doing the math, but it would be just as likely as all of them selecting their own hats because they each need to get a specific hat.

  • 1 decade ago

    1/6

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