To find the probability that a student in the 11th grade prefers German, we first need to identify the number of 11th grade students who prefer German and the total number of 11th graders.
From the table:
- The number of 11th graders who prefer German: 57
- The total number of 11th graders: 189
Now, we can calculate the probability using the formula:
\[ P(\text{German | 11th grade}) = \frac{\text{Number of 11th graders who prefer German}}{\text{Total number of 11th graders}} = \frac{57}{189} \]
Calculating this gives us:
\[ P(\text{German | 11th grade}) = \frac{57}{189} \approx 0.3016 , (\text{rounded to four decimal places}) \]
Now, rounding this probability to the nearest percent:
\[ 0.3016 \times 100 \approx 30.16% \]
When rounded to the nearest percent, this would be:
\[ 30% \]
Therefore, the probability that a student will prefer German, given that they are in the 11th grade, is 30%.