Constructing sample spaces using lists and tree diagrams
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Constructing Sample Spaces using lists and tree diagrams. Lesson 6 (4 th 6 Weeks) TEKS 6.9A. Probability. The chance of something happening. Event. Something may happen. Outcome. One of the possible events in a probability situation. Sampling.

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Constructing sample spaces using lists and tree diagrams

Constructing Sample Spaces using lists and tree diagrams

Lesson 6 (4th 6 Weeks)

TEKS 6.9A


Probability
Probability

  • The chance of something happening


Event
Event

  • Something may happen


Outcome
Outcome

  • One of the possible events in a probability situation.


Sampling
Sampling

  • An experiment that is conducted to predict probability


Sample space
Sample Space

  • The set of ALL possible outcomes for an event

  • Ways to display the sample space:

    • List all possible outcomes

    • Table

    • Tree 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
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 & Water

Tuna & Milk

Turkey & Water

Turkey & Milk

PBJ & Water

PBJ & Milk

Total of 6 Combinations


Ex table
EX: Table 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.

  • Jennifer 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 Book

Science

Math

Social Studies

Science

Social Studies

Math

Math

Science

Social Studies

Math

Social Studies

Science

Social Studies

Science

Math

Math

Social Studies

Science


Ex tree diagram
EX: Tree Diagram 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.

  • 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?


Yellow

Blue

Red

Blue

Red

Yellow

Red

Yellow

Yellow


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