Ballot Counting Probability - Quant Trader Interview Question
Difficulty: Hard
Category: Probability & Statistics
Practice quant interview questions from top firms including Jane Street, Citadel, Two Sigma, DE Shaw, and other leading quantitative finance companies.
Topics: probability, combinatorics, conditional-probability
Problem Description
In a local election, candidate A receives $a$ votes and candidate B receives $b$ votes, where $a > b$. Assuming that the ballots are counted in a random order, what is the probability that candidate A is strictly ahead of candidate B throughout the entire counting process?
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