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

Question 1

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}
-Use the multiplication law of probability to compute the probability that the respondent is male and prefers Math.


A) 875\frac{8}{75}

B) 38\frac{3}{8}

C) 3225\frac{3}{225}

D) 315\frac{3}{15}

Correct Answer:

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