At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. Of these 200, 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
E) None of the above

Question

Quizplus · Accepted Answer

The total number of business students not enrolled in statistics are 1000 - 200 = 800. 
Of the 200 students enrolled in statistics, 50 are also enrolled in accounting which means only 200-50 = 150 students are exclusively enrolled in statistics. 
There are 250 students enrolled in accounting but not enrolled in statistics. 
Thus, the total number of business students who are not enrolled in statistics is 800 - 250 = 550. 
Therefore, the probability that a business student selected at random is not enrolled in statistics = 550/1000 = 0.55 or 0.80 (if expressed as a complement of being enrolled in statistics). 
Since the question asks for the probability of not being enrolled in statistics, the answer is option D) 0.80.

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