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Thread: probability

  1. May 4th 2010, 09:59 AM #1
    chutiya
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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. May 4th 2010, 10:02 AM #2
    harish21
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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. May 4th 2010, 04:13 PM #3
    matheagle
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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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