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Math Help - random character selection

  1. #1
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    Question random character selection

    A password consisting of 2 characters is chosen. The password is randomly chosen by selecting a letter of the alphabet for the first character and a digit (0-9) for the second character. What is the probability the password is L7? I am at a complete loss for how to get started on this, I'm not sure why I can't remember but my mind is totally blank, can someone please explain to me what to do to get myself started on this? Thank you.
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by rampaige View Post
    A password consisting of 2 characters is chosen. The password is randomly chosen by selecting a letter of the alphabet for the first character and a digit (0-9) for the second character. What is the probability the password is L7? I am at a complete loss for how to get started on this, I'm not sure why I can't remember but my mind is totally blank, can someone please explain to me what to do to get myself started on this? Thank you.
    How many ways can you pick one letter of the alphabet 26

    How many ways can you pick one digit in (0-9) 10

    So there are 26 \cdot 10=260 possible passwords.

    Since there is only one password L7 the probability is

    P(L7)=\frac{1}{260}
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  3. #3
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    Smile thank you

    Omigosh I was having such a dumb moment....thank you for your help.
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