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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Definitions:

Effectiveness

Effectiveness is the degree to which something achieves its intended outcome or results in a successful, desired effect.

Developing Group

The process of forming and establishing a group with common goals or interests.

Observational Measures

are methods of assessing behavior or phenomena as they naturally occur without manipulation or intervention by the observer.

Products

Items or goods that are manufactured, grown, or refined for sale.