Question

Students apply for admission to different academic programs within a college. Because of space, each program can only accept a limited number of students. The table below shows the acceptance data for a selection of majors in the college.

Acceptance Status

Accepted Rejected Total

College Major Chemistry 72 18 90

Business 65 35 100

Spanish 45 15 60

Total 182 68 250


What is the probability that a student was accepted, given that the student applied to the business program?


26.0%

35.0%

35.7%

65.0%

I think the answer is (A). 26%. Can someone check?

Answer 1

The probability that a student was accepted into the business program, given that they applied for it, is calculated by dividing the number of students accepted (65) by the total number of business applicants (100), which equals 65%.

Step-by-step explanation:

To find the probability that a student was accepted given that they applied to the business program, we use the concept of conditional probability. The total number of students who applied to the business program is 100, with 65 students accepted and 35 students rejected. Therefore, the probability of a student being accepted into the business program, given that they applied for it, is the number of accepted students divided by the total number of applicants for that program.

Probability (Accepted | Business) = Number of students accepted into business / Total applicants for business

Probability (Accepted | Business) = 65 / 100

Probability (Accepted | Business) = 0.65 or 65%

Therefore, the correct answer is (D) 65%, not (A) 26%.

Answer 2

Your wrong, it's 65%.

Step-by-step explanation:

The reason why: You can calculate the percentage by dividing the number of accepted students by the total of business students, 65/100 which equals 65%.

yw :)