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Math Help - Theortical Probability

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    Theortical Probability

    A food inspector at a grocery store discovers that 25%(or1/4) of all of the apples from the store have worms. Mou, a shopper, buys 6 apples. What's the probability that none of the six apples he buys have no worms?

    18/24 no worms? Sounds too easy.
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  2. #2
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    Re: Theortical Probability

    Let X be a random variable representing an apple having a worm and follows a binomial distribution.

    Call p the probability of an apple having a worm, p=0.25 and n=6. Therefore X is Bi(6,0.25)

    Find the probability that X=0. i.e. P(X=0) can be found using the following

    P(X=k) = ^nC_k\times p^k\times (1-p)^{n-k}
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    Re: Theortical Probability

    Quote Originally Posted by terminator View Post
    A food inspector at a grocery store discovers that 25%(or1/4) of all of the apples from the store have worms. Mou, a shopper, buys 6 apples. What's the probability that none of the six apples he buys have no worms?
    Assuming that all events are independent with probability 0.25 the answer is \binom{6}{0}(0.25)^0(1-0.25)^{6-0}.
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