Exam 4: Probability and Counting Rules

An apartment building has the following distribution of apartments: If an apartment is selected at random, what is the probability that it is on the 2nd floor or has 2 bedrooms?

At a certain college, there were 600 science majors, 200 engineering majors, and 500 business majors. If one student was selected at random, the probability that the student is an engineering major is

When two events are independent, the probability of both occurring is:

If a die were rolled, the event of getting an even number would be called a simple event.

Three statistics professors and seven chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?