Constructing Constructing Sample Sample Spaces Spaces using using lists lists and and tree diagrams tree diagrams Lesson 6 (4 Lesson 6 (4 th th 6 Weeks) 6 Weeks) TEKS TEKS 6.9A 6.9A
Mar 29, 2015
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