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16 November, 09:27

The members of an organization are 10 men and 11 women. What is the probability that a committee of three selected at random is all female? 1/7 33/266 110/1,029

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  1. 16 November, 12:26
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    Total number of members = 10+11=21

    Probability of choosing first woman into committee = 11/21

    Probability of choosing first woman into committee = 10/20

    Probability of choosing first woman into committee = 9/19

    Assume independence of choices, then

    Probability of choosing an all women committee

    = 11/21 * 10/20 * 9/19

    = 33/266
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