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CRGreathouse

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((5 choose 2) + (5 choose 3)) / 2^5 = 20/32

The chance of 1 to 4 heads is

((5 choose 1) + (5 choose 2) + (5 choose 3) + (5 choose 4)) / 2^5 = 30/32

With 100 flips, you are probably intended to use the normal curve as an approximation rather than the explicit binomial formula, although either would work.

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