Question

n a sample of 1000 U.S. adults, 106 think that most celebrities are great role models. Two U.S. adults are selected without replacement. Find the probability that both adults think most celebrities are good role models

Answer 1

0.0111 = 1.11%

Explanation:

To solve this problem, we need to calculate the probability of each adult selected to think that most celebrities are great role models.

When selecting the first adult, there are 106 out of 1000 adults that think that most celebrities are great role models, so the probability is 106/1000

When selecting the second adult, there are 105 out of 999 adults that think that most celebrities are great role models, so the probability is 105/999

So, the probability of both adults think most celebrities are good role models

is:

P = (106/1000) * (105/999) = 0.0111 = 1.11%