1. Bell Work
Three-course dinners can be made from the menu shown. Find the sample space for a dinner consisting of an appetizer, entrée, and dessert.
Hint: Draw a tree diagram

2. Bell Work Sample Space Carrot Cake Steak Apple Pie Carrot Cake Soup
Soup, Steak, Carrot Cake
Steak
Apple Pie
Soup, Steak, Apple Pie
Carrot Cake
Soup, Chicken, Carrot Cake
Soup
Chicken
Apple Pie
Soup, Chicken, Apple Pie
Fish
Carrot Cake
Soup, Fish, Carrot Cake
Apple Pie
Soup, Fish, Apple Pie
Carrot Cake
Salad, Steak, Carrot Cake
Steak
Apple Pie
Salad, Steak, Apple Pie
Carrot Cake
Salad, Chicken, Carrot Cake
Salad
Chicken
Apple Pie
Salad, Chicken, Apple Pie
Carrot Cake
Salad, Fish, Carrot Cake
Fish
Apple Pie
Salad, Fish, Apple Pie

3. Counting Outcomes

4. Counting Outcomes
The Fundamental Counting Principle allows you to calculate the number of possible outcomes without creating a tree diagram and counting the possible outcomes in the sample space.

5. Counting Outcomes

6. Counting Outcomes

7. Let’s look back at the bell work…
Sample Space
Soup, Steak, Carrot Cake Salad, Steak, Carrot Cake
Soup, Steak, Apple Pie Salad, Steak, Apple Pie
Soup, Chicken, Carrot Cake Salad, Chicken, Carrot Cake
Soup, Chicken, Apple Pie Salad, Chicken, Apple Pie
Soup, Fish, Carrot Cake Salad, Fish, Carrot Cake
Soup, Fish, Apple Pie Soup, Fish, Apple Pie
How many options did you find when you did the tree diagram? 12
Let’s use the fundamental counting principle.
2 x 3 x 2 = 12

8. Counting Outcomes 6 ✔Check Your Progress
Find the total number of outcomes when choosing from bike helmets that come in three colors and two styles. 6

10. ✔Check Your Progress
If the Jeans Shop adds relaxed fit jeans to its selection, find the number of available jeans. Then find the probability of randomly selecting a 36 x 30 relaxed fit pair of jeans. Is it likely or unlikely that the size would be chosen?
60; 1/60; unlikely

11. ✔Check Your Understanding Rally Coach
4 x 3 = 12
20 x 7 = 140
12 x 7 = 84
3 x 4 = 12
6 x 2 x 2 = 24
4 x 2 x 2 = 16