Use the Rule of Total Probability to Find the Indicated

question 21

Multiple Choice

Use the rule of total probability to find the indicated probability.
-Among students at one college are 3874 women and 3058 men. The following table provides relative-frequency distributions for subject major for males and females at the college. $$\begin{array} { l c c } \text { Major } & \begin{array} { l } \text { Relative frequency } \\\text { for women }\end{array} & \begin{array} { l } \text { Relative frequency } \\\text { for men }\end{array} \\\hline \text { Humanities } & 0.187 & 0.165 \\\text { Science } & 0.284 & 0.349 \\\text { Social Science } & 0.142 & 0.179 \\\text { Other } & 0.387 & 0.307\end{array}$$ A student is selected at random from the college. Determine the probability that the student is a Science major.

• A)0.317
• B)0.159
• C)0.313
• D)0.320