A committee of 3 is being formed randomly from the employees at a school: 5 administrators, 34 teachers, and 4 staff. What is the probabilit

Question

A committee of 3 is being formed randomly from the employees at a school: 5 administrators, 34 teachers, and 4 staff. What is the probability that all 3 3 members are administrators? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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Ngọc Khuê 5 years 2021-08-11T06:45:23+00:00 1 Answers 149 views 1

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  1. thanhha
    1
    2021-08-11T06:47:22+00:00
    Reply

    Answer:0.000810

    Step-by-step explanation:

    Given

    A committee of 3 members is formed using

    5 Admin, 34 teachers, and 4 staff

    Favorable outcomes are selecting 3 members as Administrators

    total members =5+34+4=43

    Probability is given by

    \Rightarrow P=\dfrac{\text{Favorable}}{\text{Total}}

    \Rightarrow P=\dfrac{^5C_3}{^{43}C_3}=\dfrac{10}{43\times 41\times 7}\\\\\Rightarrow P=\dfrac{10}{12,341}=0.000810

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