To find the conditional probability \( P(A|B) \), where event \( A \) is selecting a brown animal and event \( B \) is selecting a cat, we use the formula:
\[ P(A|B) = \frac{P(A \cap B)}{P(B)} \]
Step 1: Identify \( P(A \cap B) \)
Here, \( P(A \cap B) \) represents the probability of selecting a brown cat. From the table:
- Number of brown cats = 9
Step 2: Identify \( P(B) \)
\( P(B) \) represents the total probability of selecting a cat. From the table:
- Total number of cats = 38
Step 3: Calculate \( P(A|B) \)
Now we calculate \( P(A|B) \):
\[ P(A|B) = \frac{\text{Number of brown cats}}{\text{Total number of cats}} = \frac{9}{38} \]
Step 4: Convert to percentage and round
To express this as a percentage:
\[ P(A|B) = \frac{9}{38} \times 100 \approx 23.68% \]
Rounding to the nearest whole number:
\[ P(A|B) \approx 24% \]
Thus, the final answer is:
\[ \boxed{24%} \]