Question

Please help ASAP! Correct answer only! I need to finish this assignment today.

There are 9 college students running for student government class president. The candidates include 5 biology majors.
If 5 of the candidates are randomly chosen to give the first 5 speeches, what is the probability that exactly 3 of the chosen candidates are biology majors?

Write your answer as a decimal rounded to four decimal places.

Answer 1

0.4762

Explanation:

There are 9C5 = 126 ways to choose 5 candidates to give speeches. There are (5C3)(4C2) = 60 ways that 3 of those candidates can be biology majors (and the other two can be non-biology majors). The probability of interest is ...

60/126 ≈ 0.4762

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nCk = n!/(k!(n-k)!)