To find the probability that a student in the 11th grade prefers German, we can use the data provided in the table.
From the table:
- The number of 11th-grade students who prefer German is 57.
- The total number of 11th-grade students is 189.
The probability \( P \) that a student will prefer German, given that they are in the 11th grade, is calculated using the formula:
\[ P(\text{German} | \text{11th grade}) = \frac{\text{Number of 11th graders who prefer German}}{\text{Total number of 11th graders}} \]
Plugging in the values:
\[ P(\text{German} | \text{11th grade}) = \frac{57}{189} \]
Calculating that value:
\[ P(\text{German} | \text{11th grade}) \approx 0.3016 \]
To convert this to a percentage, multiply by 100:
\[ 0.3016 \times 100 \approx 30.16% \]
Rounding to the nearest percent, we get:
\[ 30% \]
Therefore, the probability that a student will prefer German, given that they are in the 11th grade, is 30%.