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    alexgintom's Avatar
    alexgintom Posts: 2, Reputation: 1
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    #1

    Apr 27, 2012, 07:41 PM
    Math problems
    The United States Senate has 100 members, 52 Republicans and 48 Democrats. Find the probability of selecting a committee of five senators who are all Democrats if the selection is totally random.
    Prostaff's Avatar
    Prostaff Posts: 4, Reputation: 1
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    #2

    Apr 27, 2012, 09:30 PM
    Quote Originally Posted by alexgintom View Post
    The United States Senate has 100 members, 52 Republicans and 48 Democrats. Find the probability of selecting a committee of five senators who are all Democrats if the selection is totally random.
    I'm not completely sure but I think its: 5% of 48=2.4%
    stefaneli's Avatar
    stefaneli Posts: 6, Reputation: 1
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    #3

    Apr 29, 2012, 02:18 AM
    The answer is 0.0227 or 2.27%. Probability of occurrence of Event "A" (event A is event of selecting 5 Democrats) is equal to Number of Favourable (Favorable Choices for the Event) divided by the Total Number of Possible Choices for the Experiment. So we have binomial coefficient (48,5) divided by binomial coefficient (100,5).
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