To find the percentage chance that if a farmer prefers to grow carrots they have rocky soil, we need to use the data provided to calculate the relative frequency.
From the table, we have:
- Number of farmers who prefer carrots and have sandy soil: 120
- Number of farmers who prefer carrots and have rocky soil: 100
- Total number of farmers who prefer carrots: 120 (sandy soil) + 100 (rocky soil) = 220 farmers
Now, to find the percentage of farmers who prefer carrots that have rocky soil, we use the following formula:
\[ \text{Percentage} = \left( \frac{\text{Farmers with rocky soil who prefer carrots}}{\text{Total farmers who prefer carrots}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage} = \left( \frac{100}{220} \right) \times 100 \]
\[ \text{Percentage} = \frac{100}{220} \times 100 \approx 45.45% \]
Rounding this to the nearest tenth gives us 45.5%.
Therefore, the correct answer is 45.5%.