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Jane Street Interview Question

Jane StreetQuantitative Researcher Interview

There are 100 coins and someone flips them and doesn't tell us the results. I can ask one Yes/No question. After the answer I will start guessing the coin flip results. For each correct guess I get 1 dollar and for each wrong guess I lose 1 dollar. What is the best strategy to play this game and what is the maximum expected value of the return.

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