Answer: 208/729
Explanation:
Staffs,
7 male professors
6 female professors
9 male teaching assistants
5 female teaching assistants
The total number of staffs is 7 + 6 + 9 + 5 =27 staffs.
The probability of the person selected being a professor Pp = number of professors divided by the total staff
= 13/27.
Probability of the person selected being a male Pm = number of male staffs divided by total staffs
= 16/27
the probability that the selected person is a professor or a male =
Pp x Pm = 13/27 x 16/27 = 208/729