Suppose that we flip $1,000,000$ fair coins and obtain $X$ heads. Which event is more likely?

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Source: Aha! Solutions by Martin Erickson
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X = 500,000
0 ≤ X ≤ 495,000

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$\text{Probability}\left[x=500000,x\overset{\sim}{\sim}\text{BinomialDistribution}\left[1000000,\frac{1}{2}\right]\right]> \\ \text{Probability}\left[0<x<495000,x\overset{\sim}{\sim}\text{BinomialDistribution}\left[1000000,\frac{1}{2}\right]\right] \Rightarrow \\ \text{True}$

In fact the 495000 could be increased to 498422 and it would still be true.