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Math Help - Sampling without replacement - Probability of obtaining 3 defectives.

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    Sampling without replacement - Probability of obtaining 3 defectives.

    Six microprocessors are randomly selected from a lot of 100 microprocessors among which 10 are defective. Find the probability of obtaining at least three defective microprocessors.

    ((90,6)*(10,3))/(100,6)

    Is this correct? Thank you.
    Last edited by mr fantastic; November 11th 2011 at 02:26 AM. Reason: Re-titled.
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  2. #2
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    Re: Probability

    Quote Originally Posted by mathproblems View Post

    Six microprocessors are randomly selected from a lot of 100 microprocessors among which 10 are defective. Find the probability of obtaining at least three defective microprocessors.

    ((90,6)*(10,3))/(100,6)

    Is this correct? Thank you.
    NO

    Try \sum\limits_{k = 3}^6 {\frac{{\binom{90}{6-k}\binom{10}{k}}}{\binom{100}{6}}}
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