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You flip 100 fair coins. What are the mean and standard deviation of the number of heads, and roughly what is the probability of exactly 50 heads, as a percentage?

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Flip a fair coin 1000 times. What is the probability of more than 550 heads?If you flip a coin 10 times and the results are all heads, what’s the probability that the coin is a fair coin?Of 1000 coins, one is double-headed and the rest are fair. You pick one at random, flip it 10 times and see 10 heads. What is the probability it is the double-headed coin?

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