The math department of a college has 5 male professors, 14 female professors, 5 males assistants, and 13 female teaching assistants. if a person is selected at random from the group, find the probability that the selected person is a teaching assistant or a female.
what is the probability?

If their math department is asking you to work that out then it's a pretty bad math department... But
Work out the total number of people: 5 + 14 + 5 + 13 = 37
Chance of a female teacher: 14/37
Chance of a male teaching assistant: 5/37
Chance of a female teaching assistant: 13/37
14/37 + 5/37 + 13/37 = 32/37 chance