Coin flipping and bid making problems as already listed on Glassdoor.
Quantitative Trading Interview Questions
450 quantitative trading interview questions shared by candidates
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Probability and expected value related questions
Probability and expected value of dice/cards.
Mostly based on basic ideas about probabilities, but quite hard to grasp unless you have the right intuition. One example: estimate probability of a certain outcome in a heads/tails game
Brain teasers
Probability based questions e.g. coin tossing, Markov chain (without mentioning the concept directly)
Various mock trading scenarios which make use of the ideas in the Probability and Markets Guide on their website (expected value, adverse selection etc).
expected value of rolling dice
Scenarios and games that had to be modelled
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