Question

The mathematics department of a college has 15 male​ professors, 11 female​ professors, 10 male teaching​ assistants, and 5 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.

Answer 1

The answer is 26/41, or 63.4%

The number of people that fit into the Female or TA group is 26
This is because there are 16 total females, and 10 male TAs
Although there are 5 female TAs as well, they are already included in the 16 person female group, so they are not counted again.