What has flipping a coin to do with this integral? – math.stackexchange.com

What has flipping a coin to do with this integral? – math.stackexchange.com

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If you toss a coin $2n$ times the chance of getting heads $n$ times is $$\frac{1}{4^n} \binom{2n}{n} $$ (simple combinatorics problem). Now I've made a seemingly obscure observation: $$\int_0^{2 ...

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