8
QuizMultiple Choice

The Multiplication Rule for Independent Events

Question 8 • PISD-Statistics B 4th GP

A large company states in their promotional literature that 80% of their employees have college degrees. If 5 employees are selected at random from this company, what is the probability that all 5 will have college degrees?

Answer
A
0.0003
B
0.3277
C
0.6723
D
0.9997

Explanation

The probability that one randomly selected employee has a college degree is 0.80. Assuming the selections are independent, the probability that all five have degrees is 0.80 × 0.80 × 0.80 × 0.80 × 0.80 = 0.80⁵ = 0.32768, which rounds to 0.3277. So the correct choice is 0.3277.

AI-written and checked against the verified answer.

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