6
QuizMultiple Choice

The Multiplication Rule for Independent Events — Quiz

Question 6 • Algebra 2 with Probability

A large company states in its promotional literature that 74 percent of its employees have college degrees. Assume this claim is true. If 4 employees are selected at random from this company, what is the probability that at least 1 of the selected employees has a college degree?

Answer
A
0 point 0 0 4 6
B
0 point 9 9 5 4
C
0 point 2 9 9 9
D
0 point 7 0 0 1

Explanation

The probability that one employee does not have a college degree is 1 − 0.74 = 0.26. The probability that all 4 selected employees lack degrees is 0.26⁴ = 0.00456976, so the probability that at least 1 has a degree is 1 − 0.00456976 ≈ 0.9954, matching choice B, 0.9954.

AI-written and checked against the verified answer.

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