TDSM 2.23

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The probability of at least 2 out of 3 is A, where
A=3p2(1p)+p3
The probability of at least 5 out of 8 is B, where
B=56p5(1p)3+28p6(1p)2+8p7(1p)+p8.

Intuitively, if we are very a poor kicker (but don't always miss!), then A>B. If we are a good kicker, then B is better. Source