Education Technology

# Activities

• ##### Subject Area

• Math: Statistics: Probability and Random Variables

9-12

60 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition

TI Connect™

• ##### Accessories

TI Connectivity Cable

• ##### Other Materials
This is Activity 1 from the EXPLORATIONS Book:
Exploring Mathematics with the Probability Simulation Application.

The following accessory is required for this activity:
• ViewScreen Panel™ or TI-Presenter™ video adapter

## Law of Large Numbers: Equal Opportunities

#### Activity Overview

In this activity, students will use the Probability Simulation application to roll a fair die and explore the Law of Large Numbers. They will conduct probability experiments that involve tossing a fair die, graph the results, compare the experimental probability to its theoretical probability and see how the Law of Large Numbers affects the results.

#### Before the Activity

Install the Probability Simulation Application on the calculator using one of these two methods:

• See the attached PDF file for detailed instructions for this activity
• Print pages 1-12 from the attached PDF file for your class

#### During the Activity

Distribute the pages to your class.

• Practice rolling a dice on the Probability Simulation Application and view the graph
• Create a Qualitative Scale of Evenness (QSE)
• Simulate the rolling of die 1020 times and record the results
• Collect the data generated by all students
• Graph the results of the entire class
• Understand that as more trials run, the experimental probability comes closer to the theoretical probability
• #### After the Activity

Students will complete the Student Worksheet and answer questions.

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary