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Math Help - Combination Lock

  1. #1
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    Combination Lock

    Hello,

    I have been wracking my brain trying to figure out this problem, any help would be greatly appreciated.

    A typical "combination" lock is opened with the correct sequence of three numbers between 0 and 49 inclusive (A number can be used more than once.) What is the probability of guessing those three numbers and opening the lock with the first try?

    What I have been doing is a permutation (since order does matter) but I'm unsure if I have the right answer.

    P
    50 3

    = 1/117600 chance

    Please offer any advice or answers, I would be most grateful.
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  2. #2
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    Note that numbers can be repeated.
    Hence the probability is: \frac{1}{{\left( {50} \right)^3 }}\;\;\;.
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