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    LisaMK1957's Avatar
    LisaMK1957 Posts: 1, Reputation: 1
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    #1

    Oct 10, 2013, 06:38 AM
    pool 3,000 people, randomly select 5%, what r odds of being picked each time
    I have a pool of 3000 people. I need 5% of that pool randomly selected in the result set.

    If I run my code, assigning a random number then pulling the Top 5%.

    I seem to get some of the same people in the result set each time I run my code.

    What is the probability or odds of this happening?

    Thank you for any help you can offer.
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Oct 10, 2013, 08:21 AM
    The probability of getting some of the same people is quite high. The probability of having no duplicates in selecting 60 people out of 3000 is:



    which equals 0.294. So about 70.6% of the time there will be at least one duplicate.

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