To determine the likelihood that a student takes Japanese given that they are in the anime club, we need to calculate the conditional probability. Specifically, we seek \( P(\text{Take Japanese} \mid \text{In Anime Club}) \).
Based on the given table:
- The proportion of students who take Japanese and are in the anime club is \( P(\text{Take Japanese and In Anime Club}) = 0.13 \).
- The proportion of students who are in the anime club is \( P(\text{In Anime Club}) = 0.14 \).
The conditional probability \( P(\text{Take Japanese} \mid \text{In Anime Club}) \) is given by the following formula:
[tex]\[
P(\text{Take Japanese} \mid \text{In Anime Club}) = \frac{P(\text{Take Japanese and In Anime Club})}{P(\text{In Anime Club})}
\][/tex]
Substituting the given values:
[tex]\[
P(\text{Take Japanese} \mid \text{In Anime Club}) = \frac{0.13}{0.14}
\][/tex]
Performing the division:
[tex]\[
P(\text{Take Japanese} \mid \text{In Anime Club}) \approx 0.9285714285714285
\][/tex]
Converting this to a percentage:
[tex]\[
0.9285714285714285 \times 100 \approx 92.85714285714285\%
\][/tex]
Therefore, the likelihood that a student takes Japanese given that they are in the anime club is about 93%.
Thus, the correct answer is:
A. About [tex]\( 93\% \)[/tex]
