TDSM 2.23
From The Data Science Design Manual Wikia
The probability of at least 2 out of 3 is A, where
A=3p2(1−p)+p3
The probability of at least 5 out of 8 is B, where
B=56p5(1−p)3+28p6(1−p)2+8p7(1−p)+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