Problem from first interview: you repeatedly roll a fair 6 sided dice. every roll you add the result to your score. At any time you may end the game and keep your score, however if your total score ever becomes a perfect square you lose with 0 points. How should you play?
Probability questions, questions about your resume
Probability theory, rolling dices, expected value
EV about rolling dice - getting 6’s. Then game of where you decide between which option. Calculate EV to decide which game you’d rather play
There were multiple probability and statistics questions.
Probability and expected value questions
Don't remember the details, but dice and cards come up often.
A question about conditional probability
You are playing a one-player game with two opaque boxes. At each turn, you can choose to either "place" or "take". "Place" places $ $1 from a third party into one box randomly. "Take" empties out one box randomly and that money is yours. This game consists of 100 turns where you must either place or take. Assuming optimal play, what is the expected payoff of this game? Note that you do not know how much money you have taken until the end of the game.
You have a drawer of infinite socks in a 1:1 ratio, what is the expected number of draws to get a pair?
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