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}

\frac{10}{15}

\frac{2}{15}

\frac{6}{15}

Consider an Event X Comprised of Three Outcomes Whose Probabilities 918,118, and 618\frac{9}{18}, \frac{1}{18}, \text { and } \frac{6}{18}189​,181​, and 186​

Multiple Choice

Correct Answer:VerifiedUnlock this answer nowGet Access to more Verified Answers free of chargeAccess For Free

Consider an Event X Comprised of Three Outcomes Whose Probabilities $\frac{9}{18}, \frac{1}{18}, \text { and } \frac{6}{18}$

Correct Answer:
Verified
Unlock this answer now
Get Access to more Verified Answers free of charge