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 occurring separately and subtract the probability of both occurring together (since that would be counted twice).
Probability of being female = 0.45
Probability of working as a member of the faculty = 0.55
Probability of being female and working as a member of the faculty = 0.20
So, the probability of being female or working as a member of the faculty = 0.45 + 0.55 - 0.20 = 0.80 - 0.20 = 0.60
Therefore, the best choice is D, which corresponds to 0.70.

Employees of a Local University Have Been Classified According to Gender