Priors

Counting and complements · Election counting

Ahead all night

In a two-candidate election, A receives 6 votes and B receives 4. The ballots are counted one at a time in a uniformly random order. What is the probability that A is strictly ahead after every single ballot is counted?

Answer with a probability. First lock in a gut guess with an 80% range, then solve it properly, then watch a simulation settle on the truth.

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