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Citadel Interview Question

CitadelTrader Interview

Suppose I have two pancakes, one with two burnt sides, one with one burnt and one unburnt side. I choose one of these pancakes randomly, and then look at one of its sides, chosen at random. It is burnt. What is the probability that I chose the pancake with two burnt sides?

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Disclaimer: We are not affiliated with Citadel in any way. This question is sourced from interviewees and public sources and may not be accurate or reflective of the company's actual interview process.