In a sample of 800 U.S. adults, 198 think that most celebrities are good role models. Two U S. adults are selected from this sample without replacement. Complete parts (a) through (c). (a) Find the probability that both adults think most celebrities are good role models. The probability that both adults think most celebrities are good role models is (Round to three decimal places as needed.)

To find the probability that both selected adults think that most celebrities are good role models, we need to consider the number of adults who believe this and the decreasing population as we select without replacement. There are 198 adults who think celebrities are good role models out of a total of 800. 1. The probability that the first adult selected thinks celebrities are good role models is: \[ P(A) = \frac{198}{800} \] 2. If the first selected adult thinks so, now there are 197 good role model supporters left out of 799 total adults. So, the probability that the second adult selected also thinks so is: \[ P(B|A) = \frac{197}{799} \] 3. Now, we multiply these probabilities to find the overall probability that both selected adults think most celebrities are good role models: \[ P(A \text{ and } B) = P(A) \times P(B|A) = \frac{198}{800} \times \frac{197}{799} \] 4. Doing the math: \[ P(A \text{ and } B) = \frac{198 \times 197}{800 \times 799} = \frac{39006}{638400} \approx 0.061 \] When rounded to three decimal places, the probability that both adults think most celebrities are good role models is approximately **0.061**.