1. **State the problem:** We want to find the probability that a randomly selected person is a young adult given that they own a cat. 2. **Recall the formula for conditional probability:** $$P(A|B) = \frac{P(A \cap B)}{P(B)}$$ where $A$ is the event "young adult" and $B$ is the event "owns a cat". 3. **Identify values from the table:** - Number of young adults who own a cat: 7 - Total number of people who own a cat: 20 4. **Calculate the conditional probability:** $$P(\text{Young Adult} | \text{Cat}) = \frac{7}{20}$$ 5. **Convert to percentage and round:** $$\frac{7}{20} = 0.35 = 35\%$$ **Final answer:** $$P(\text{Young Adult} | \text{Cat}) = 35\%$$