Problem
A A 2023 Jillian Souza $11 / 28 / 2312: 30 \mathrm{PM}$ is 1-3 Question 21 of 22 This test: 22 point(s) possible This quostion: 1 point(s) possible Submit test In a sample of 800 U.S. adults, 210 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 modeis. The probability that both adults think most celebritles are good role models is .017 . (Round to three decimal places as needed.) (b) Find the probability that neither adult thinks most celebrites are good role modeis. The probability that neither adult thinks most celebrities are good role modeis is .456 . (Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults thinks most celebritios are good role models. The probablity that at least one of the two adults thinks most celebrities are good role models is (Round to three decimal places as needed.)
Solution
Step 1 ：The probability that neither adult thinks most celebrities are good role models is \(0.456\).
Step 2 ：To find the probability that at least one of the two adults thinks most celebrities are good role models, subtract the probability that neither adult thinks most celebrities are good role models from \(1\).
Step 3 ：probability\_neither = \(0.456\)
Step 4 ：probability\_at\_least\_one = \(1 - \text{probability\_neither}\)
Step 5 ：probability\_at\_least\_one = \(1 - 0.456\)
Step 6 ：probability\_at\_least\_one = \(0.544\)
Step 7 ：The probability that at least one of the two adults thinks most celebrities are good role models is \(\boxed{0.544}\)
