9
QuizMultiple Choice

Relative Frequencies

Question 9 • AZ-Common Core Algebra II A

A large company states in its promotional literature that 74% of its employees have college degrees. Assume this claim is true. If 3 employees are selected at random from this company, what is the probability that at least 1 of the selected employees will not have a college degree?

Answer
A
0.0176
B
0.4052
C
0.5948
D
0.9284

Explanation

It is easier to find the complement: the only way none of the three lacks a degree is if all three have college degrees. The probability of that is 0.74 × 0.74 × 0.74 = 0.405224. So the probability that at least one does not have a degree is 1 − 0.405224 = 0.594776, or about 0.5948. The correct choice is C, 0.5948.

AI-written and checked against the verified answer.

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