Use the Data Given Below to Answer the Following Question(s)

question 41

Multiple Choice

Use the data given below to answer the following question(s) .
15 students were asked to choose between the broad categories of Arts, Science, and Math as their preferred area of study.
$\begin{array}{|c|c|c|}\hline \text { Respondent } & \text { Gender } & \text { Preference } \\\hline 1 & \text { Female } & \text { Art.s } \\\hline 2 & \text { Male } & \text { Science } \\\hline 3 & \text { Male } & \text { Math } \\\hline 4 & \text { Female } & \text { Art.s } \\\hline 5 & \text { Female } & \text { Math } \\\hline 6 & \text { Male } & \text { Science } \\\hline 7 & \text { Male } & \text { Math } \\\hline 8 & \text { Male } & \text { Math } \\\hline 9 & \text { Female } & \text { Art.s } \\\hline 10 & \text { Male } & \text { Art.s } \\\hline 11 & \text { Male } & \text { Science } \\\hline 12 & \text { Female } & \text { Science } \\\hline 13 & \text { Female } & \text { Math } \\\hline 14 & \text { Male } & \text { Art.s } \\\hline 15 & \text { Female } & \text { Art.s }\end{array}$
-What is the probability that a respondent is male and prefers Arts given that the respondent is male?

• A)\(\frac{8}{15}\)
• B)\(\frac{10}{15}\)
• C)\(\frac{2}{15}\)
• D)\(\frac{6}{15}\)

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