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Two candidates face each other in an election. The Democratic candidate is supported by 58% of the population, and the Republican candidate is supported by

Two candidates face each other in an election. The Democratic candidate is supported by 58% of the population, and the Republican candidate is supported by 42%. In other words, if you randomly chose a voter and asked them who they plan to vote for, there would be a 58% chance they would say they support the Democratic candidate.

Suppose you run a poll of 8 people. What is the probability that less than half of them (3 or fewer) would support the Democratic candidate?

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