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Easy · Probability & Combinatorics · Numerical · ~3 min · #78

A Sum of 4 Before a Sum of 2

Real interview · Goldman Sachs

You roll two fair dice repeatedly and record the sum each time. What is the probability that you see a sum of 4 before you see a sum of 2?

Hints · 0 of 2 shown

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

Competing eventsConditioning on the deciding roll

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