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Thread: probability

  1. #1
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    probability

    a company with operations in France Italy and America has a board of directors which consists of 7 french 6 Italian and 5 American directors. a group of 3 directors is to be chosen at random to attend a conference . whats the probability at least one american director is chosen in the group selected ?

    one of the people has to be American selected and the other two can be Italian or French.
    can this be solved using normal probability?
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  2. #2
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    Re: probability

    There are 18 possible directors. So, the probability space has $\dbinom{18}{3}$ possible outcomes. How many outcomes have no American directors? That would be $\dbinom{13}{3}$

    So there are $\dbinom{18}{3}-\dbinom{13}{3}$ outcomes with at least one American director.
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  3. #3
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    Re: probability

    Quote Originally Posted by markosheehan View Post
    a company with operations in France Italy and America has a board of directors which consists of 7 french 6 Italian and 5 American directors.
    A deck of 18 cards containing 7 cards labelled "1",
    6 cards labelled "2" and 5 cards labelled "3".
    Thanks from markosheehan
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