Answer
$P(female~or~survived)=\frac{820}{2224}\approx0.3687$
Work Step by Step
1) OR
2) The events are not mutually exclusive.
Use the General Addition Rule (page 273):
From (a): $P(survived)=\frac{711}{2224}$
From (b): $P(female)=\frac{425}{2224}$
From (d): $P(female~and~survived)=\frac{316}{2224}$
Now:
$P(female~or~survived)=P(female)+P(survived)-P(female~and~survived)=\frac{711}{2224}+\frac{425}{2224}-\frac{316}{2224}=\frac{820}{2224}\approx0.3687$
