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Math Help - probability

  1. #1
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    probability

    an urn contains 10 marbles of the same size and weight of which 2 are red, 5 are yellow, and 3 are green. n=5 marbles are drawin, with replacement from the urn. calculate the probability that 1 red, 2 yellow, and 2 green marbles are obtained!

    I am totally stumped on this question! can anyone help?
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  2. #2
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by chutiya View Post
    an urn contains 10 marbles of the same size and weight of which 2 are red, 5 are yellow, and 3 are green. n=5 marbles are drawin, with replacement from the urn. calculate the probability that 1 red, 2 yellow, and 2 green marbles are obtained!

    I am totally stumped on this question! can anyone help?
    Probability = \frac{5!}{1!\times 2! \times 2!} \times {\left(\frac{2}{10}\right)}\times {\left(\frac{5}{10}\right)}^2  \times {\left(\frac{3}{10}\right)}^2
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  3. #3
    MHF Contributor matheagle's Avatar
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    that's correct
    it's multinomial since you are sampling with replacement
    it would be hypergeometric if you didn't replace the marbles
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