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Medium · Probability & Combinatorics · Numerical · ~5 min · #82

Every Even Face Before Any Odd

Real interview · IMC Trading

You roll a fair die repeatedly. What is the probability that you see all three even faces before you roll your first odd number?

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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

Ignoring irrelevant outcomesSequential conditioning

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