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Suppose you flipped a fair coin 1,000,000 times and note whether each flip was a head or not. What is the probability that there are at least 1000

Suppose you flipped a fair coin 1,000,000 times and note whether each flip was a head or not. What is the probability that there are at least 1000 more heads than tails? Show the 68-95-99.7% distribution 

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