Question

The mathematics department of a college has 12 male​ professors, 7female​ professors, 13 male teaching​ assistants, and 12 female teaching assistants. If a person is selected at random from the​ group, find the probability that the selected person is a professor or a male.

Answer 1

Use the following probability property:

`P(A or B) = P(A) + P(B) - P(A and B)`
Where A is person is a professor.
B is person is male.

Total number in group = 44
Total number of professors = 19
Total number that are male = 25
Number that are BOTH male and a professor = 12


`P = (19)/(44) + (25)/(44) - (12)/(44) = (32)/(44) = (8)/(11)`

Answer 2

Professor: 19/44
Male: 15/44

I hope this helped!