1. Topic: Probability
Aim: How do we find the probability of compound events?
Do Now: Three-course dinners can be made from the menu shown.
(a) Find the sample space for a dinner consisting of
an appetizer, entree, and dessert using a tree diagram.
(b) Use the Fundamental Counting Principle to find the number of outcomes in the sample space.
(c) What is probability that someone chooses a salad, chicken and apple pie for their three-course dinner?
Homework: Complete Handout

2. Do Now: Three-course dinners can be made from the menu shown.
(a) Find the sample space for a dinner consisting of
an appetizer, entree, and dessert using a tree diagram.
(b) Use the Fundamental Counting Principle to find the number of outcomes in the sample space.
(c) What is probability that someone chooses a salad, chicken and apple pie for their three-course dinner?
Sample Space
Desserts
Entrees
Appetizers
Carrot Cake
Soup, Steak, Carrot Cake
Steak
Apple Pie
Soup, Steak, Apple Pie
Soup
Carrot Cake
Soup, Chicken, Carrot Cake
Three-course
dinner
Chicken
Apple Pie
Soup, Chicken, Apple Pie
Carrot Cake
Salad, Steak, Carrot Cake
Steak
Apple Pie
Salad, Steak, Apple Pie
Salad
Carrot Cake
Salad, Chicken, Carrot Cake
Chicken
Apple Pie
Salad, Chicken, Apple Pie

3. Let's Review: What is a Sample Space?
A sample space is the set of all the possible outcomes in a
  probability experiment.
Note: Organized lists, tables, and tree diagrams can be used 
to represent the sample space.

4. What is a Compound Event?
A compound event consists of two or more simple events.
The combined action of rolling a number cube and spinning a spinner is a compound event.

5. Probabilities involving "AND"
In probability, an outcome is in event "A and B" only when the outcome is in both event A and event B.
P (A and B) = P(A) P(B)
Example:
A die is rolled. What is the probability that the number is even and less than 4?

6. Probabilities involving "OR"
In probability, an outcome is in event "A or B" when the outcome is in either (or both) event A or event B.
P (A or B) = P(A) + P(B) - P(A and B)
Example:
A die is rolled. What is the probability that the number is even or less than 4?

7. Practice Problems

8. Practice Problems H T 1 2 3 4 5 6

9. Practice Problems

10. Practice Problems

11. Practice Problems

12. Practice Problems

13. Practice Problems

14. Practice Problems

15. Practice Problems

16. Homework Summary What is a sample space? Complete Handout
What can be used to represent a sample space?
How can we find the probability of a
compound event?
Homework
Complete Handout