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Math Help - Probability Question

  1. #1
    Col
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    Probability Question

    Hello!

    I haven't done much math in a while and I really need help learning how to do probability. The question is:

    Sixteen students (made up from 10 men and 6 women) have volunteered to be ushers at a concert. Since only 4 ushers are required, a draw will be made to select them. What is the probability that the ushers selected will be:

    a) 4 Women
    b) 4 Men
    c) 2 Men and 2 Women

    I would really appreciate if someone could help me learn this as soon as possible!
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  2. #2
    Senior Member Sambit's Avatar
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    For part (a), can you say in how many ways can 4 women be chosen from 6 women? And in how many ways can 4 people be selected from 16 people? You need to have concept of "combination" for that. Have you learnt it?
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  3. #3
    Col
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    Uhm, would you go 6 C 4 = 15

    and 16 C 4 = 1820?
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  4. #4
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    Yes that's it
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  5. #5
    Senior Member Sambit's Avatar
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    So the required probability for part (a) is 15/1820.
    Try the other two in the same manner.
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