On a particular day, a restaurant has a special three-course menu with the following choices:

Poppy, who is visiting this restaurant with her friends, is to choose one course from each category above.
(i) How many outcomes does the sample space for this experiment have?
(ii) Let A be the event that she chooses stuffed mushrooms for a starter. How many outcomes are in the event A?
(iii) Suppose B is the event she decides to have vegetarian lasagna as her main course. List the outcomes of the sample space which the event B contains.
(iv) With A and B as defined above, how many outcomes are there in the event AB?
(v) How many outcomes are there in the event A ∪ B?

Transcribed Image Text:

Course Starter Main course Dessert Choices Caesar salad or shrimp cocktail or stuffed mushrooms Roast beef or chicken or fish or vegetarian lasagna Ice cream or profiterole or fresh strawberries