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

Question 4

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.
 Respondent  Gender  Preference 1 Female  Art.s 2 Male  Science 3 Male  Math 4 Female  Art.s 5 Female  Math 6 Male  Science 7 Male  Math 8 Male  Math 9 Female  Art.s 10 Male  Art.s 11 Male  Science 12 Female  Science 13 Female  Math 14 Male  Art.s 15 Female  Art.s \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 prefers Science given that the respondent is female?


A) 115\frac{1}{15}

B) 17\frac{1}{7}

C) 715\frac{7}{15}

D) 47\frac{4}{7}

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