Question

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?

Answer 1

To find the probability of a business student not enrolled in accounting, subtract the students enrolled in both courses and only accounting from the total business majors. Then divide that number by the total business majors to find the probability.

Step-by-step explanation:

To find the probability that a business student is not enrolled in accounting, we need to determine the total number of business students and subtract the number of students enrolled in accounting.

Given:

• Total business majors = 1,000
• Students enrolled in statistics = 200 (out of the 1,000 business majors)
• Students enrolled in both statistics and accounting = 50
• Students enrolled in only accounting = 250

To find the number of students not enrolled in accounting, we subtract the number of students enrolled in both courses and the number of students enrolled in only accounting from the total number of business majors:

Number of students not enrolled in accounting = Total business majors - (Students enrolled in both courses + Students enrolled in only accounting)

= 1000 - (50 + 250)

= 1000 - 300

= 700

Therefore, there are 700 business students not enrolled in accounting out of the 1,000 business majors.

To find the probability, we divide the number of students not enrolled in accounting by the total number of business majors:

Probability = Number of students not enrolled in accounting / Total business majors

= 700 / 1000

= 0.7

Therefore, the probability that a business student is not enrolled in accounting is 0.7.

Answer 2

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%