Answer
$P(female~|~no~tickets)=\frac{97}{168}\approx0.577$
Work Step by Step
N(no tickets) = 168 and N(no tickets and female) = 97.
Using the Conditional Probability Rule (see page 288):
$P(female~|~no~tickets)=\frac{N(no~tickets~and~female)}{N(no~tickets)}=\frac{97}{168}\approx0.577$