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HMMT — Election A,B Each 5 Supporters 2/3 Chance Probability

1800SpecialistCombinatoricsProbability

Harvard-MIT Mathematics Tournament

In an election, there are two candidates, $A$ and $B$, who each have $5$ supporters. Each supporter, independent of other supporters, has a $\frac{1}{2}$ probability of voting for his or her candidate and a $\frac{1}{2}$ probability of being lazy and not voting. What is the probability of a tie (which includes the case in which no one votes)?
0 students attempted0% solvedRating 1800

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