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

Question

Quizplus · Accepted Answer

- There are 200 business students enrolled in a statistics course, out of which 50 are also enrolled in an accounting course. So, the number of students enrolled in statistics only is 200 - 50 = 150.
- There are 250 business students enrolled in an accounting course but not enrolled in statistics. So, the number of students enrolled in accounting only is 250 - 50 = 200.
- Therefore, the total number of students enrolled in either accounting or statistics, but not both, is 150 + 200 = 350.
- The probability of selecting a business student enrolled in either accounting or statistics, but not both, is given by:
   P = (number of students enrolled in either accounting or statistics, but not both) / (total number of business students)
   P = 350 / 1000 = 0.35
- However, the question asks for the probability of either accounting or statistics, so we need to subtract the probability of students enrolled in both courses:
   P = (number of students enrolled in either accounting or statistics) / (total number of business students)
   P = (150 + 200) / 1000 - 50 / 1000 = 0.35 - 0.05 = 0.30
- Therefore, the probability that a business student is enrolled in either accounting or statistics, but not both, is 0.30 or 30%. The closest option is C) 0.40, but it is not the correct answer.

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