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 either enrolled in accounting or statistics,but not both?
A)0.45
B)0.50
C)0.40
D)0.05
E)None of the above

Question

Quizplus · Accepted Answer

To find the probability that a business student is enrolled in either accounting or statistics, but not both, we need to subtract the probability of being enrolled in both courses from the total probability of being enrolled in either course. 
Total probability of being enrolled in either course = (200 + 250)/1000 = 0.45
Probability of being enrolled in both courses = 50/1000 = 0.05
Therefore, the probability of being enrolled in either course but not both = 0.45 - 0.05 = 0.40. Hence, the best choice is C.

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