7th Grade Math

Multi-Part

Lesson (^1) Probability
PART A B C D
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Multi-Part
Lesson 1
Get ConnectED
GLE 0706.5.5
Understand and apply basic
concepts of probability.
440 Probability and Predictions
Main Idea
Use multiplication to
count outcomes and
find probabilities.
Vocabulary
Fundamental Counting
Principle
Count Outcomes
SALES The Shoe Warehouse sells
sandals in different colors and styles.

1. According to the table, how many
   colors of sandals are available?


2. How many styles are available?


3. Draw a tree diagram to find the number
   of different color and style combinations.


4. Find the product of the two numbers
   you found in Exercises 1 and 2. How
   does the number of outcomes compare to the product?

In the activity above, you discovered that multiplication, instead of a

tree diagram, can be used to find the number of possible outcomes in

a sample space. This is called the Fundamental Counting Principle.

Fundamental Counting Principle

Words If event M has m possible outcomes and event N has n

possible outcomes, then event M followed by event N has

m × n possible outcomes.

Find the Number of Outcomes

Find the total number of outcomes when a coin is tossed and a

number cube is rolled.

number

coin cube total

· = Fundamental Counting Principle

There are 12 different outcomes.

Check Draw a tree diagram to show the sample space.

a. Find the total number of outcomes when choosing from bike

helmets that come in three colors and two styles.

sanddda

Color Style

Black

Brown

Tan

White

Red

Platform

Slide

Wedge

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