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 none of the 5 will support the referendum?

If 65% support the referendum, then 35% do not support it. Assuming each voter’s opinion is independent, the probability that all 5 do not support it is 0.35 × 0.35 × 0.35 × 0.35 × 0.35 = 0.35⁵ ≈ 0.0053. So the probability that none of the 5 support the referendum is 0.0053.

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