Lesson 6 (4 th 6 Weeks) TEKS 6.9A. The chance of something happening.

Constructing Constructing Sample Sample SpacesSpaces using using listslists and and

tree diagramstree diagrams

Lesson 6 (4Lesson 6 (4thth 6 Weeks) 6 Weeks)TEKS TEKS 6.9A6.9A

Probability

The chance of something happening

Event

Something may happen

Outcome

One of the possible events in a probability situation.

Sampling

An experiment that is conducted to predict probability

Sample Space

The set of ALL possible outcomes for an event

Ways to display the sample space:List all possible outcomesTableTree diagram

You can also use multiplication to find the total number of possible outcomes.

EX: 2 types of bread x 3 sandwich fillings = 6 different sandwiches that can be made

Ex: List

On track and field day the students have a choice of either a tuna sandwich, turkey sandwich, or a peanut butter and jelly sandwich. They can have water or milk to drink. Create a list that shows all the possible combinations that the students can have for lunch.

On track and field day the students have a choice of either a tuna sandwich, turkey sandwich, or a peanut butter and jelly sandwich. They can have water or milk to drink. Create a list that shows all the possible combinations that the students can have for lunch.

Tuna & WaterTuna & MilkTurkey & WaterTurkey & MilkPBJ & Water PBJ & Milk

Total of 6 Combinations

EX: TableJennifer is arranging her science book, math book, and social studies book in her locker. In how many different ways can she arrange them?

Order of Books

First Book Second Book Third BookScienceScience

ScienceScience

ScienceScience

MathMath

MathMath

MathMath

Social StudiesSocial Studies

Social Studies

Social Studies

Social Studies

Social Studies

EX: Tree Diagram

There are 6 colored tiles in a bag: 2 blue tiles, 2 red tiles, and 2 yellow tiles. With looking, you draw 2 colored tiles out of the bag at the same time. What are the possible color combinations of the 2 colored tiles drawn?

There are 6 colored tiles in a bag: 2 blue tiles, 2 red tiles, and 2 yellow tiles. With looking, you draw 2 colored tiles out of the bag at the same time. What are the possible color combinations of the 2 colored tiles drawn?

Blue Red Yellow

Blue Red Yellow YellowRed Yellow