Problem
Suppose the data to the right represent Male Female Child Total the survival data for the a certain ship that sank. The $\begin{array}{lll}\text { Survived } \quad 243 & 396\end{array}$ 79 718 males are adult males and the Died $\quad 1,099$ 72 $53 \quad 1,224$ females are adult females. Complete parts (a) Total $\quad 1,342$ 468 132 1,942 through (j). (f) If a female passenger is selected at random, what is the probability that she survived? (Round to three decimal places as needed.)
Solution
Step 1 ：Given that 396 females survived and 72 females died, the total number of females is \(396 + 72 = 468\).
Step 2 ：The probability of a female passenger surviving is calculated by dividing the number of females who survived by the total number of females. So, the probability is \(\frac{396}{468}\).
Step 3 ：Using a calculator, we find that \(\frac{396}{468} = 0.846\).
Step 4 ：Final Answer: The probability that a female passenger selected at random survived is \(\boxed{0.846}\).
