TDSM 2.23

The probability of at least 2 out of 3 is A, where
$$A=3p^2(1-p)+p^3$$
The probability of at least 5 out of 8 is B, where
$$B=56p^5(1-p)^3+28p^6(1-p)^2+8p^7(1-p)+ p^8.$$

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