Employees of a local university have been classified according to gender and job type. If an employee is selected at random,what is the probability that the employee is female or works as a member of the faculty?
A)0.73
B)0.08
C)0.33
D)0.70
E)0.05

Question

Employees of a local university have been classified according to gender and job type.  If an employee is selected at random,what is the probability that the employee is female or works as a member of the faculty?
A)0.73 
B)0.08 
C)0.33 
D)0.70 
E)0.05

Quizplus · Accepted Answer

To find the probability that the employee is female or works as a member of the faculty, we need to add the probabilities of these two events happening separately and subtract the probability of both events happening together (since we don't want to count those employees twice).

The probability of selecting a female employee is 0.4 (since there are 4 female employees out of a total of 10 employees).

The probability of selecting an employee who works as a member of the faculty is 0.3 (since there are 3 faculty members out of a total of 10 employees).

The probability of selecting an employee who is both female and a faculty member is 0.1 (since there is only 1 employee who fits both categories).

Therefore, the probability of selecting an employee who is either female or a faculty member is:

0.4 + 0.3 - 0.1 = 0.6

So the answer is D) 0.70 (which is not an option, but is the closest choice to the correct answer).

Employees of a Local University Have Been Classified According to Gender