Easy · Probability & Combinatorics · Numerical · ~4 min · #83
Four-Sided or Six-Sided?
Real interview · IMC Trading
You pick one of two dice at random: one has four sides and one has six. You roll it and get a 2. If you roll the same die again, what is the expected value of the second roll?
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Worked solution
Give the problem an honest attempt first, then reveal the full explanation.
Reported in interviews
The reported wording is brief. We read it as one die chosen at random and rolled twice.
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
Bayes' theoremPosterior predictive expectation
Relevant for
Quant TraderQuant Researcher