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 enrolled in "neither" accounting nor statistics?

Question

Mathematics

Sierra

21 March, 04:56

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 enrolled in "neither" accounting nor statistics?

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Answers (1)

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Abby Blackwell · Answer 1

Answer: 0.55

Step-by-step explanation:

Total business students: 1000

total students in introductory statistics course: 200

total students enrolled in accounting course : 250

Probability the student is enrolled in "neither" accounting nor statistics:

Number of students that are not in statistics or accounting

= Total students - total students enrolled in statistics course - total students enrolled in accounting course

= 1000 - 200 - 250 = 550

Probability = number of students that are not in statistics or accounting : total number of students

= 550/1000 = 0.55