Question

He mathematics department of a college has 6 male​ professors, 8 female​ professors, 14 male teaching​ assistants, and 7 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

Total number of people in the department = 6 + 8 + 14 + 7 = 35
Total males = 6 + 14 = 20
Total female professor = 8
Total males or professor = 20 + 8 = 28

$P(\text {male or professor}) = \dfrac{28}{35} = \dfrac{4}{5}$

$\boxed {\boxed {\text {Answer: P(male or professor) = }\dfrac{4}{5} }}$