Joan and Jim are planning a dinner menu including a main dish and dessert. They have $4$ main dish choices (steak, vegetable-cheese casserole, turkey burgers, and vegetarian lasagna) and $3$ dessert choices (chocolate brownies, strawberry ice cream, and chocolate chip cookies).  

1. Joan and Jim would like to know how many different dinner menus they have to choose from. One way to make sure you have considered the entire sample space – all the possible menu outcomes – is to make a table like the one at right. How many different menus are there?

   	steak	vegetable casserole	turkey burgers	vegetable lasagna
   chocolate brownies
   strawberry ice cream
   chocolate chip cookies

   Possibility 1(a): Make a Diagram

   

   Each line represents one unique dinner menu.

   Possibility 2(a): Write a list

   Steak with Chocolate Brownies
   Steak with Strawberry Ice Cream
   Steak with Chocolate Chip Cookies
   
   Vegetable Casserole with Chocolate Brownies
   Vegetable Casserole with Strawberry Ice Cream
   Vegetable Casserole with Chocolate Chip Cookies
   
   Turkey Burgers with Chocolate Brownies
   Turkey Burgers with Strawberry Ice Cream
   Turkey Burgers with Chocolate Chip Cookies
   
   Vegetable Lasagna with Chocolate Brownies
   Vegetable Lasagna with Strawberry Ice Cream
   Vegetable Lasagna with Chocolate Chip Cookies

   Possibility 3(a): Use multiplication

   $\left(4\ \text{main dish choices}\right)\left(3\ \text{dessert choices}\right)=12\ \text{menus}$

2. Assume the main dish choice and the dessert choice are both chosen randomly. Are all the menus equally likely?

3. What is the probability they pick a menu without meat? What is the probability they pick a menu with chocolate?