Easy · Probability & Combinatorics · Numerical · ~4 min · #71

First to Roll a Six

Real interview · J.P. Morgan

Two players take turns rolling a fair die. The first to roll a 6 wins. What is the probability that the player who rolls first wins?

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Worked solution

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

Reported in interviews

J.P. MorganGlassdoor interview question

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.

Concepts

First-step analysisGeometric series

Relevant for

Quant TraderQuant ResearcherDesk Quant