A coin is tossed 32 times. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 15 tosses. What is the probability of being correct 15 or more times by guessing

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A coin is tossed 32 times. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 15 tosses. What is the probability of being correct 15 or more times by guessing?  Round to the nearest thousandth.

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