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 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 to your class.

Follow the Activity procedures:

• 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