Question

Suppose that a certain college class contains students. Of these, are juniors, are mathematics majors, and are neither. A student is selected at random from the class. (a) What is the probability that the student is both a junior and a mathematics major

Answer 1

Answer:

2/5

Step-by-step explanation:

The question is not correctly outlined, here is the correct question

"Suppose that a certain college class contains 35 students. of these, 17 are juniors, 20 are mathematics majors, and 12 are neither. a student is selected at random from the class. (a) what is the probability that the student is both a junior and a mathematics majors?"

Given data

Total students in class= 35 students

Suppose M is the set of juniors and N is the set of mathematics majors. There are 35 students in all, but 12 of them don't belong to either set, so

|M ∪ N|= 35-12= 23

|M∩N|=  |M|+N- |MUN|= 17+20-23

           =37-23=14

So the probability that a random student is both a junior and social science major is

=P(M∩N)= 14/35

=2/5