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Analyzing a Voting System (Math Geeks Please Help!)
I'm testing a theory about the US voting system and I'd like a little help devising a formula to tell me the likelihood that one vote will make or break the election.
The assumptions are that there are n number of participating voters, two candidates A and B, and all voters will vote with a 50-50 likelihood of either candidate. What is the formula to determine the likelihood that the same number will show up for both sides? There is probably going to be a resolution problem, because for even numbers a vote count of n/2 on either side yields, and ((n/2) +/- 1) depicts voting situations where one vote did make a difference...but for odd numbers, the countable outcomes would be ((n/2) +/- .5) with no stalemate. Can anyone figure out a simple formula for this? |
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