At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course.Of these 200 students, 50 are also enrolled in an introductory accounting course.There are an additional 250 business students enrolled in accounting but not enrolled in statistics.If a business student is selected at random, what is the probability that the student is not enrolled in statistics?
A)0.05
B)0.20
C)0.25
D)0.80

Question

Quizplus · Accepted Answer

The total number of business students enrolled in statistics is 200. Out of these, 50 are also enrolled in accounting so there are 150 business students who are only enrolled in statistics. 
The total number of business students enrolled in accounting is 250, out of which 50 are also enrolled in statistics. Therefore, there are 200 business students who are only enrolled in accounting. 
So the total number of business students not enrolled in statistics is 150 + 200 = 350. 
Therefore, the probability that a business student selected at random is not enrolled in statistics is 350/1000 = 0.35 or 35%. 
Thus, Option D is the correct answer.

At a University with 1,000 Business Majors, There Are 200