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7 January, 03:21

19) Suppose that there are 55 Democrats and 45 Republicans in the US Senate. A committee of seven senators is to be formed by selecting members of the Senate randomly. a) What is the probability that the committee is composed of all Democrats?

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  1. 7 January, 05:23
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    Probability = 0.12676992

    Step-by-step explanation:

    The probability of selecting committee of seven composed of all Democrats.

    Total number = 45+55 = 100

    Number of Democrats = 55

    Number of committee = 7

    Probability = (55C7) / (100/7)

    Where C represent combination sign

    Probability = (202927725/1.60075608*10^10)

    Probability = 0.12676992
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