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Math Help - probability

  1. #1
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    probability

    5 apples are to be given to a group of children of 6 boys and 2girls. what is the probability that.

    a particular boy david will receive an apple. ( answer provided 5/8) mind to show how
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  2. #2
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    Hello, qweiop90!

    5 apples are to be given to a group of children of 6 boys and 2girls.
    What is the probability that a particular boy, David, will receive an apple.
    Answer: . \frac{5}{8}

    5 apples are given to 8 children; there are: . {8\choose5} \:=\:{\color{blue}56} possible ways.


    In how many ways can David be not given an apple?
    Then the 5 apples are given to the other 5 boys and the 2 girls.
    There are: . {7\choose5} \:=\:21 ways that David does not get an apple.

    Hence, there are: . 56 - 21 \:=\:{\color{blue}35} ways that David does get an apple.


    Therefore: . P(\text{David gets an apple}) \;=\;\frac{35}{56} \;=\;\frac{5}{8}

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