Suppose the data to the right represent Male Female Child Total the survival data for the a certain ship that sank. The Survived
243 79
718 males are adult males and the Died 1,099 72 53
1,224 females are adult females. Complete parts (a) Total 1,342 468 132
1,942 through (j).
than the survival rates for women and children.
C. No, because the survival rate for men was higher than the survival rates for women and children
(j) Suppose two females are randomly selected. What is the probability both survived?
(Round to four decimal places as needed.)

Step 1 ：Given the data, we know that 243 females survived out of a total of 468 females.

Step 2 ：We can calculate the probability of one female surviving as the number of females who survived divided by the total number of females. This gives us \(\frac{243}{468} = 0.5192307692307693\).

Step 3 ：Since the events are independent (the survival of one female does not affect the survival of another), the probability of both females surviving is simply the square of the probability of one female surviving. This gives us \(0.5192307692307693^2 = 0.2696005917159764\).

Step 4 ：Final Answer: The probability that two randomly selected females both survived is approximately \(\boxed{0.2696}\).