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Medium · Probability & Combinatorics · Numerical · ~4 min · #103

51 Coins Against 50

Real interview · Squarepoint Capital

You toss 51 fair coins and I toss 50. You win only if you get strictly more heads than I do. What is your probability of winning?

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Worked solution

Give the problem an honest attempt first, then reveal the full explanation.

Reported in interviews

Candidate-reported and unverified; the firm may phrase it differently or no longer ask it. The wording here is our own paraphrase, and the solution was written and checked independently of any answers posted at the source.

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Concepts

SymmetryConditioning on the last coin

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