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CNY Mathletics: Majority Rules

Consider an election with two candidates: A and B. The winner is the candidate with the most votes. Say A receives α votes and B receives β votes. Candidate A wins the election. Now, during the process of counting the votes, a running total is kept for each of the candidates. What is, in terms of α and β, the probability that the running total for candidate A remains greater than of equal to the running total of candidate B throughout the entire vote counting process?

Note by Ryan Tamburrino
2 years ago

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I posted a note regarding this here. See @Finn Hulse 's solution. Pranjal Jain · 2 years ago

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What is CNY Matheletics?

To me, CNY stands for Chinese New Year, and I am in the midst of planning what to do for that lol. Calvin Lin Staff · 2 years ago

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@Calvin Lin It's just a very casual and fun mathematics competition. CNY stands for central New York, aka the non-exciting part of the state. Realizing now that I should've specified! CNY Mathletics has some pretty cool problems now and then, but overall, it's not very challenging. Ryan Tamburrino · 2 years ago

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