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Thread: Choosing Random Integer

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    Choosing Random Integer

    Each of four students chooses at random one integer from 1 to 10 inclusive. What is the probability that at least 2 of them choose the same integer?

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    Quote Originally Posted by sweeetcaroline View Post
    Each of four students chooses at random one integer from 1 to 10 inclusive. What is the probability that at least 2 of them choose the same integer?
    Do you understand that there are $\displaystyle 10^4$ ways to choose the integers?

    Let's find the number of ways that no two of the same integers are chosen.
    That number is $\displaystyle 10\cdot 9\cdot 8\cdot 7$. WHY?

    Then what is the number in which at least two of the same are chosen?
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