Medium · Probability & Combinatorics · Numerical · ~6 min · #79

Product of Two Uniforms Below One Half

Real interview · Goldman Sachs

$U$ and $V$ are independent and uniform on $(0, 1)$ . What is $P(UV < \tfrac12)$ ?

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Worked solution

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

Reported in interviews

Goldman SachsGlassdoor 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

Geometric probabilityConditioning on one variable

Relevant for

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