Step 1 :Given that there are 468 females in total and 396 of them survived, the probability that one female survived is \(\frac{396}{468}\).
Step 2 :Since we are selecting two females, we need to calculate the probability that the second female also survived given that the first one did.
Step 3 :This is calculated as \(\frac{396-1}{468-1}\) because we have one less female and one less survivor after the first selection.
Step 4 :The total probability is the product of these two probabilities, which is approximately 0.7157.
Step 5 :Final Answer: The probability that both females selected survived is approximately \(\boxed{0.7157}\).