1. Drill #83 Open books to page 645. Answer questions #1 – 4 .
a. State the sample and the population
b. State whether the sample is biased or unbiased
c. Classify the sample

2. 12-2 Counting Outcomes
Objective: To count outcomes using a tree diagram, and to count outcomes using the Fundamental Counting Principal.
Open books to page 650

3. (1.) Tree Diagram, (2.) Sample Space, and (3.) Event **
Tree Diagram: A diagram used to show the total number of possible outcomes of an event.
Sample Space: The list of all possible outcomes for an event.
Event: Any collection of one or more outcomes.

4. Tree Diagram* Example 1: page 650 Check your progress: page 650
Classwork:
12-2 Lesson Reading Guide #1 – 3

5. (4.) Fundamental Counting Principle **
Definition: If an event M can occur m ways followed by another N event that can occur n ways, then the event M followed by event N can occur in m(n) ways.
Example: event M  flipping a coin ( H or T)
event N  roll a die (6 sided)
Total outcomes = 2 * 6 = 12

6. Fundamental Counting Principle*
Example 2: page 651
Check your progress: page 651
Example 3: page 651
Classwork:
12-2 Lesson Reading Guide #4

7. (5.) Factorial **
Definition: The expression n!, read n factorial, is the product of all integers beginning with n and counting backward to one.
Examples: n! = n * (n – 1) * (n – 2 ) * …* 2 * 1
4! = 4 * 3 * 2 * 1
8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

8. Factorial* Example 4a, b: page 652 Check your progress 4A, B: page 652