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1. The problem statement, all variables and given/known data

There is a town of 4000 people. What is a probability of an election with two candidates having a tie if each person has an equal probability of voting for each of the 2 candidates.

2. Relevant equations

:-)

3. The attempt at a solution

Okay, so I thought [tex]\binom{4000}{2000}[/tex] * 2 * [tex]\frac{1}{2}^{2000}[/tex] to find all the ways you can choose 2000 people from the 4000. Then you multiply by the probability of these 2000 choosing one candidate. You multiply everything by 2 since those 2000 could vote for the other candidate as well.

Does this sound like a reasonable answer or is there something I'm missing/doing wrong.

Any help would be greatly appreciated. Thanks a lot!

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# Homework Help: Probability of an Election Tie

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