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A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped...

A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 2929 times, and the man is asked to predict the outcome in advance. He gets 2323 out of 2929 correct. What is the probability that he would have done at least this well if he had no ESP?
Probability =

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