In a group of 10 individuals working on a project, 4 are graduates. If 3 people are chosen at random, what is the probability that at least one of them is a graduate?

Explanation

To find the probability that at least one graduate is selected, we calculate the complement of selecting no graduates. The number of ways to choose 3 non-graduates from 6 is C(6,3), and the total ways to choose any 3 from 10 is C(10,3). Thus, P(at least one graduate) = 1 - P(no graduates) = 1 - C(6,3)/C(10,3) = 1 - (20/120) = 5/6.