Of a company’s 85 employees, 60 work full time and 40 are married. half of the fulltime workers are married.

what is the probability that an employee works part time or is not married?

show your work and every step with the venn diagram if possible

It is implied from the given conditions that

Unmarried employees = 45

Unmarried employees that work full time = 30

Part time working employees = 25

Unmarried employees that work part time = 15

Married employees that work part time = 10

Thus

The probability of a part time employee = 25/85

The probability of an unmarried employee = 45/85

Hence probability that an employee works part time or is not married = (25/85) + (45/85)

= (25 + 45) / 85

= 70 / 85