Some days the parking garage on campus is full often due to

Some days the parking garage on campus is full, often due to sporting events. There are sporting events on 30% of evenings, and no events on 70% of evenings. When there is a spoting event, the garage fils up about 85% of the time. On evenings when there are no sporting events, it only fills up about 10% of the time.

a. Construct a tree diagram to display the information.

b. Find the probability that the garage is full.

c. If the garage is full, what is the probability that there is a sporting event?

Solution