To determine the likelihood that a student takes Japanese given that they are in the anime club, we can use conditional probability. Specifically, we need to find [tex]\( P(\text{Take Japanese} \mid \text{In anime club}) \)[/tex].
Based on the provided table:
1. Probability of being in the anime club and taking Japanese, [tex]\( P(\text{In anime club and take Japanese}) \)[/tex]:
- This is given directly in the table as 0.15 (15%).
2. Probability of being in the anime club, [tex]\( P(\text{In anime club}) \)[/tex]:
- This is also given directly in the table as 0.16 (16%).
Using the formula for conditional probability:
[tex]\[
P(\text{Take Japanese} \mid \text{In anime club}) = \frac{P(\text{In anime club and take Japanese})}{P(\text{In anime club})}
\][/tex]
Substitute the values:
[tex]\[
P(\text{Take Japanese} \mid \text{In anime club}) = \frac{0.15}{0.16} = 0.9375
\][/tex]
To express this probability as a percentage, multiply by 100:
[tex]\[
0.9375 \times 100 = 93.75\%
\][/tex]
Therefore, the likelihood that a student takes Japanese given that they are in the anime club is approximately [tex]\( 94\% \)[/tex].
The correct answer is:
A. About [tex]\( 94\% \)[/tex]
