### Home > INT2 > Chapter 4 > Lesson 4.1.4 > Problem4-43

4-43.

Joan and Jim are planning a dinner menu including a main dish and dessert. They have four main dish choices (steak, vegetable-cheese casserole, turkey burgers, and vegetarian lasagna) and three 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. How many different menus are there?

Each segment represents one unique dinner menu.

Make a diagram.

Write a list.

Steak with Brownies
Steak with Strawberry Ice Cream

Vegetable Casserole with Brownies
Vegetable Casserole with Strawberry Ice Cream
Vegetable Casserole with Chocolate Chip Cookies

Turkey Burgers with Brownies
Turkey Burgers with Strawberry Ice Cream
Turkey Burgers with Chocolate Chip Cookies

Vegetable Lasagna with Brownies
Vegetable Lasagna with Strawberry Ice Cream
Vegetable Lasagna with Chocolate Chip Cookies

Use multiplication.

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

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?