Answer
The events "female" and "1 ticket" are not independent because
$P(female~|~1~ticket)\ne P(female)$
Work Step by Step
The sample space: 197 individuals. So, $N(S)=197$
According to the marginal distribution (see page 235) of the first row: $N(female)=115$
Using the Empirical Approach (page 258):
$P(female)=\frac{N(female)}{N(S)}=\frac{115}{197}\approx0.5838$
According to the marginal distribution (see page 235) of the second column: $N(1~ticket)=21$
According to the cell in the first row, second column: $N(female~and~1~ticket)=14$
$P(female~|~1~ticket)=\frac{N(female~and~1~ticket)}{N(1~ticket)}=\frac{14}{21}=\frac{2}{3}\approx0.6667$
$P(female~|~1~ticket)\ne P(female)$
The events "female" and "1 ticket" are not independent (see definition on page 292).
