Question

In an office 40% of the employee are males while 70% of the employees are married if 80%of male are married find out the net percent of unmarried female in the office?

Answer 1

Suppose there are exactly 100 employees at this company. If 40% of workers are female, then 40 are female and 100−40=60 are male. If 40% of these female workers are married, then there are 40(0.4)=16 married female workers and 40−16=24 unmarried female workers. If 60% of the 60 male workers are married, then there are 60(0.6)=36 married male workers, and 60−36=24 unmarried male workers. We summarize this in the following table:

MarriedUnmarriedTotalFemale162440Male362460Total5248100

Therefore, among the 16+36=52 married workers of either sex, 36 are males, and if one married worker is chosen at random, the chance this person is male is simply 36/52=9/13≈0.692308.