Gambler's Fallacy: Lucky Streaks and Slumps

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Statistics: Probability and Random Variables

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Probability Simulation for TI-83 Plus and TI-84 Plus

Other Materials

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

Resource Types

Lessons

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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.

Follow the Activity procedures:

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

Download Files

Download All Files (ZIP)

Before the Activity Files

Teacher Notes Appendix A PDF Teacher Notes Appendix B PDF Teacher Notes PDF

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Statistics: Probability and Random Variables

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Applications

Probability Simulation for TI-83 Plus and TI-84 Plus

Other Materials

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

Resource Types

Lessons

Report an Issue

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Gambler's Fallacy: Lucky Streaks and Slumps

Probability Simulation for TI-83 Plus and TI-84 Plus

Gambler's Fallacy: Lucky Streaks and Slumps

Before the Activity Files

Probability Simulation for TI-83 Plus and TI-84 Plus

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