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sum from i = (n/2 - x) to n - x of ((n - x) choose i) (1/4)^i (3/4)^{n-x-i} = 1/2
sum from i = (n/2 - x) to n - x of ((n - x) choose i) (1/4)^i (3/4)^{n-x-i} = 1/2
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