TDSM 2.23
From The Data Science Design Manual Wikia
The probability of at least 2 out of 3 is A, where
[math]A=3p^2(1-p)+p^3[/math]
The probability of at least 5 out of 8 is B, where
[math]B=56p^5(1-p)^3+28p^6(1-p)^2+8p^7(1-p)+ p^8.[/math]
Intuitively, if we are very a poor kicker (but don't always miss!), then [math]A \gt B [/math]. If we are a good kicker, then B is better. Source
