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I flip 100 fair coins and you must guess the whole sequence. You may first ask one yes/no question. What do you ask to maximise your chance of guessing correctly?

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A fair coin is flipped 100 times out of sight. You may ask one yes/no question, then guess every flip, winning $1 per correct guess and losing $1 per wrong one. What do you ask, and what do you exp...

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