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Math Help - About independent problem

  1. #1
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    Mar 2013
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    taiwan
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    Question About independent problem

    consider n independent trials, each of which results in one of the outcomes 1,...,k with respective probabilities p_1 ,...,p_2, sum of p_i = 1.
    Show that if all the p_i are small, them the probability that no trial outcome occurs more than once is approximately equal to
    exp(-n(n-1)sum of ((p_i)^2)/2)
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  2. #2
    MHF Contributor
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    Re: About independent problem

    Hey Glitter.

    First you should try and write down the PDF (Hint: Look at a multinomial distribution).
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