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 accounting?

Question

Floyd

Mathematics

30 November, 23:10

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 accounting?

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Sariah Levine · Answer 1

The probability to not to enroll in accounting = 70%

Step-by-step explanation:

Total business students = 1000

Stats students = 200

Students with stats and accounts = 50

So, only stats student = 200 - 50 = 150

Only accounts students = 250

The probability of students not enrolled in accounting will be the probability to enrolled in stats.

Total accounts students = 50 + 250 = 300

Probability of accounts students = 300 / 1000 = 0.3 or 30 %

So, probability to not accounting student = 100% - 30% = 70%