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If N is odd, the probability is 0.

If N is even, suppose N=2M

then the probability is 2MCM*(1/2)2M which approaches 0 as N (or M) increases.

For N = 10, Prob = 0.1762

For N = 20, Prob = 0.1254

For N = 30, Prob = 0.1026

For N = 80, Prob = 0.0630

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Q: What is the probability of getting heads one-half N times when flipping a coin N times?
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