Lesson 4
Tables of Relative Frequencies
Lesson Narrative
The mathematical purpose of this lesson is to make connections between twoway tables and relative frequency tables and to use the tables to determine probabilities for some events. The work of this lesson connects to previous work because students used sample spaces to calculate probabilities of compound events. The work of this lesson connects to upcoming work because students will use tables and Venn diagrams to determine probabilities for some events. When students use twoway tables to estimate probabilities they are seeing and making use of structure (MP7).
Learning Goals
Teacher Facing
 Interpret (orally and in writing) a twoway table that represents a sample space.
 Use information in a twoway table to calculate relative frequencies and to estimate probabilities.
Student Facing
 Let’s use tables to organize probabilities.
Required Materials
Required Preparation
One standard number cube is needed for each student.
Learning Targets
Student Facing
 I can use information in a twoway table to find relative frequencies and to estimate probability.
CCSS Standards
Glossary Entries

chance experiment
A chance experiment is something you can do over and over again, and you don’t know what will happen each time.
For example, each time you spin the spinner, it could land on red, yellow, blue, or green.

event
An event is a set of one or more outcomes in a chance experiment. For example, if we roll a number cube, there are six possible outcomes.
Examples of events are “rolling a number less than 3,” “rolling an even number,” or “rolling a 5.”

outcome
An outcome of a chance experiment is one of the things that can happen when you do the experiment. For example, the possible outcomes of tossing a coin are heads and tails.

probability
The probability of a chance event is a number from 0 to 1 that expresses the likelihood of the event occurring, with 0 meaning it will never occur and 1 meaning it will always occur.

sample space
The sample space is the list of every possible outcome for a chance experiment.
For example, the sample space for tossing two coins is:
headsheads tailsheads headstails tailstails
Print Formatted Materials
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