Quant Analyst Interview Questions

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Conditional probability questions e.g. say there is a fair 4 sided die and a fair 6 sided die (numbers 1-4 and 1-6 respectively on the dice), then given a 2 is rolled, what is the probability that the die rolled was the 4 sided die if the die was picked at random?
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Quant Trader Intern

Interviewed at Jane Street

4.4
Mar 25, 2024

Conditional probability questions e.g. say there is a fair 4 sided die and a fair 6 sided die (numbers 1-4 and 1-6 respectively on the dice), then given a 2 is rolled, what is the probability that the die rolled was the 4 sided die if the die was picked at random?

You and an opponent are each given a number between 0 and 1 uniformly, and the higher number wins 1 point from the other. Having seen your number and not your opponents, you can choose offer double the odds or just continue to see their number. If you offer double, the opponent can, having seen their number either reject the offer (losing 1) or play double, potentially losing or winning 2 based on the numbers. How should you play?
avatar

Quant Trader Intern

Interviewed at Jane Street

4.4
Dec 12, 2024

You and an opponent are each given a number between 0 and 1 uniformly, and the higher number wins 1 point from the other. Having seen your number and not your opponents, you can choose offer double the odds or just continue to see their number. If you offer double, the opponent can, having seen their number either reject the offer (losing 1) or play double, potentially losing or winning 2 based on the numbers. How should you play?

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