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20 February, 08:54

Hey Siri Council consist of eight Democrats and five Republicans if a committee of five people are selected find the probability of selecting two Democrat and three Republicans

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  1. 20 February, 09:15
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    55/2574 ≈ 2.18%

    Step-by-step explanation:

    There are a total of 13 people on the council.

    The probability that the first person is a Democrat is 8/13.

    The probability that the second person is a Democrat is 7/12.

    The probability that the third person is a Republican is 5/11.

    The probability that the fourth person is a Republican is 4/10.

    The probability that the fifth person is a Republican is 3/9.

    The total probability is:

    P = (8/13) (7/12) (5/11) (4/10) (3/9)

    P = 56/2574

    P ≈ 0.0218

    There is a 2.18% probability of selecting two Democrats and three Republicans.
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