In a recent advertising campaign, Applebee's Restaurant offered diners a special 3-course menu for $15.99. The menu included choices of three appetizers (Mozzarella sticks, house salad, soup), four entrees (chicken, fish, beef, vegetarian pasta), and two desserts (ice cream, apple pie).
a. How many different 3-course meals can be ordered from this menu? (Draw a tree diagram to help visualize this sample space; or use the counting rule to find the total number of meals.)
b. How many of these 3-course meals have the beef course as the entrée?
c. How many of these 3-course meals do not have soup as the appetizer?
d. What is the probability that a 3-course meal has the chicken entrée?
e. What is the probability that a 3-course meal has either soup or salad?
f. What is the probability that a 3-course meal has either ice cream or apple pie for dessert?
g. What is the probability that a 3-course meal has shrimp cocktail as the appetizer?