2
QuizMultiple Choice

The Multiplication Rule for Independent Events

Question 2 • PISD-Statistics B 4th GP

A large company states in its promotional literature that 74% 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
0.0046
B
0.2999
C
0.7001
D
0.9954

Explanation

Use the complement: the probability that at least one employee has a degree is 1 minus the probability that none have degrees. Each employee has a 26% chance of not having a degree, so the probability all four do not is 0.26⁴ = 0.00456976. Thus, 1 − 0.00456976 = 0.99543024, which rounds to 0.9954, choice D.

AI-written and checked against the verified answer.

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