Activities

• • • Subject Area

• Math: Statistics: Probability and Random Variables

• Author 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 7 from the EXPLORATIONS Book:
Exploring Mathematics with the Probability Simulation Application.

Gambler's Fallacy: Longest Streaks

Activity Overview

In this activity, students explore longest the streak for 7 tosses of a coin. They understand the relationship between relative frequency and Theoretical probability. They will be able to clear misconceptions about probabilities of streaks.

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
• Load the program STREAKS on the calculator
• See the attached PDF file for detailed instructions for this activity
• Print pages 83 - 96 from the attached PDF file for your class

During the Activity

• Distribute pages of the worksheet
• Explore responses to probability questions
• Start the Probability Simulation application
• Use a simulator to gather data for 30 sets of 7 tosses of a coin
• Use the STREAKS7 program to collect data on 500 trials of 7 tosses of a coin
• Compare the results with the list of possible combinations
• Understand the different predictions, experimental results, and theoretical analysis
• 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