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Use the Data Given Below to Answer the Following Questions)

Question 13

Multiple Choice

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


A) 115\frac { 1 } { 15 }
B) 17\frac { 1 } { 7 }
C) 715\frac { 7 } { 15 }
D) 4
7

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