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 8 from the EXPLORATIONS Book:
Exploring Mathematics with the Probability Simulation Application.

## Gambler's Fallacy: Lucky Streaks and Slumps

#### Activity Overview

In this activity, students determine the probability of independent and compound events. They design simulations and collect data to explore streaking behavior.

#### Before the Activity

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

• TI Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable
• TI-Navigator™ "send to class" feature
• See the attached PDF file for detailed instructions for this activity
• Print pages 97 - 108 from the attached PDF file for your class

#### During the Activity

Distribute the pages to your class.

• Distribute the worksheet to students
• Record responses to the questions
• Use the Probability Simulation application to simulate tossing a coin 100 times
• Record any occurrence of streaks of three
• Note the outcome of the next toss if it is the same as that of the previous three tosses
• Record the class results of the number of streaks of three
• Explore how the outcome of one coin toss is independent of previous outcomes
• #### After the Activity

Students will complete Student Data Collection and Analysis Sheet.

Review student results:

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