15 students were asked to choose between the broad categories of Arts, Science, and Math as their preferred area of study.
\begin{tabular}{|c|c|c|}
\hline Respondent & Gender & Preference \\
\hline 1 & Female & Arts \\
\hline 2 & Male & Science \\
\hline 3 & Male & Math \\
\hline 4 & Female & Arts \\
\hline 5 & Female & Math \\
\hline 6 & Male & Science \\
\hline 7 & Male & Math \\
\hline 8 & Male & Math \\
\hline 9 & Female & Arts \\
\hline 10 & Male & Arts \\
\hline 11 & Male & Science \\
\hline 12 & Female & Science \\
\hline 13 & Female & Math \\
\hline 14 & Male & Arts \\
\hline 15 & Female & Arts \\
\hline
\end{tabular}
What is the probability that a respondent is male and prefers Arts?
$6 / 15$
$2 / 15$
$10 / 15$
$8 / 15$
Answer
Final Answer: The probability that a respondent is male and prefers Arts is \(\boxed{\frac{2}{15}}\).
Step 1 ：Given data of 15 students with their gender and preference of study.
Step 2 ：From the data, we can see that there are 2 male students who prefer Arts.
Step 3 ：The total number of students is 15.
Step 4 ：To find the probability that a respondent is male and prefers Arts, we divide the number of male students who prefer Arts by the total number of students.
Step 5 ：Calculating the probability gives us \(\frac{2}{15}\).
Step 6 ：Final Answer: The probability that a respondent is male and prefers Arts is \(\boxed{\frac{2}{15}}\).
