Question 60 Answer and Explanation _ACT June 2021 Form D06 Math Section

60. A certain company has 120 employees, 85 of whom have business degrees. Of the employees with business degrees, 75 are certified public accountants (CPAs). There are 14 employees who are not CPAs and also do not hold a business degree. One employee of the company will be selected at random to be interviewed for a television news program. What is the probability that the selected employee will be a CPA ?

(Note: A business degree is NOT required to be a CPA.)

F. $\frac{75}{120}$

G. $\frac{85}{120}$

H. $\frac{89}{120}$

J. $\frac{96}{120}$

K. $\frac{99}{120}$

Answer and Explanation

Your Answer is

Correct Answer is J

Explanation

A total of 120 employees, 85 business degrees, and 120-85 = 35 non-business degrees. 14 are neither business degrees nor CPAs, so the number of CPAs with non-business degrees is 35 - 14 = 21, the total number of accountants is 21 + 75 = 96, and the probability is 96/120