You want to take two art classes after school. You may take only one painting and one sculpture class per week. The table gives the days that the classes are offered. The classes are offered at 3:00 each day, so you cannot take both classes on the same day. a. Make a tree diagram of all the possible schedules for the two classes you could take. Be sure to eliminate the possibilities where you have both classes on the same day. b. How many different possible schedules for the two classes are there? c. You sign up for the two classes and are randomly assigned a schedule. What is the probability that your sculpture class is on Tuesday? d. Writing Explain why, for a situation like this one, it is better to make a tree diagram than to use the counting principle.