Answer:
c. 0.0398.
Explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
To solve this question, we find each separate probability, and then multiply them.
First winner is a chemistry major
23 chemistry majors out of 61 students. So

Second winner is a chemistry major:
Considering the first event, 22 chemistry majors out of 60 students. So

Third winner is an undecided major;
Considering the first two events, 17 undecided out of 59 students. So

Desired probability:

So option c.