Out of 7 people working on a project, 3 are graduates. If 3 people are selected at random, what is the probability that there is at least one graduate among them? Choose the correct choice from the following choices:
A) 17/20
B) 21/25
C) 23/30
D) 31/35
E) 37/40
P(no graduates) = 4C3 / 7C3 = 4/35   P(at least one graduate) = 1- 4/35 = 31/35   The answer is 31/35.
<result>D</result>
Out of 7 people working on a project, 3 are graduates. If 3 people are selected at random, what is the probability that there is at least one graduate among them?