10
QuizMultiple Choice

The Multiplication Rule for Independent Events

Question 10 • PISD-Statistics B 4th GP

In a certain town, 65% of the voters support a school referendum up for a vote. If 5 voters are asked for their opinion, what is the probability that at least 1 of the 5 will not support the referendum?

Answer
A
0.0053
B
0.1160
C
0.8840
D
0.9947

Explanation

It is easier to find the complement: the only way none of the 5 voters oppose the referendum is if all 5 support it. Assuming each voter’s opinion is independent, that probability is 0.65^5 ≈ 0.1160. So the probability that at least 1 voter does not support it is 1 − 0.1160 ≈ 0.8840, choice C.

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