Answer
$\frac{38}{60}$ $\approx$ 0.633
Work Step by Step
Looking for: probability that someone likes to watch football given that they do not like to watch basketball
P(likes football | not like basketball)
= P(likes football | likes basketball^C)
= P(likes basketball^C and likes football) $\div$ P(likes basketball^C)
= 38/60
= 19/30
$\approx$ 0.633