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Math Help - Expected Value Problem

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    Expected Value Problem

    You order twelve burritos from a Mexican restaurant, five with hot peppers and seven without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability of the event:

    (a) At most one has hot peppers



    I honestly have no idea where to begin, and I do not find the chapter very helpful to me. Anyone have any hints or suggestions?
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  2. #2
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    Quote Originally Posted by HardyHar View Post
    You order twelve burritos from a Mexican restaurant, five with hot peppers and seven without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability of the event:

    (a) At most one has hot peppers



    I honestly have no idea where to begin, and I do not find the chapter very helpful to me. Anyone have any hints or suggestions?
    Let X be the random variable number of hot pepper burritos.

    \Pr(X \leq 1) = \Pr(X = 0) + \Pr(X = 1).

    Note: \Pr(X = x) = \frac{{5 \choose x} \cdot {7 \choose 3 - x}}{{12 \choose 3}}. Think about this.

    X follows a hypergeometric distribution: Hypergeometric distribution - Wikipedia, the free encyclopedia
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