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

## Off to the Races

#### Activity Overview

In this activity, students set weights for factors and observe how it affects the probability of a particular outcome. They set a weight for 3 factors for each of the six horses in a race. The three factors are weighted differently in different parts of the race. They compare the experimental and theoretical probability of a particular outcome.

#### 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 69 - 78 from the attached PDF file for your class

#### During the Activity

Distribute the pages to your class.

• Using the Earning table, determine the cumulative earnings for each horse, and what percent of the overall total for the 6 horses that amount represents
• Determine the weight for each horse
• Use the Jockey's Placing table to determine the weight setting for each jockey
• Based on the information in the Post Position table determine the weight for each of the post positions
• Start the Probability Simulator application
• Start the Roll dice simulation
• Randomly select a post position and jockey for each horse
• Enter weights for horses, jockeys, and post positions
• Identify the part of the race for which each factor is important and adjust the trial sets
• Predict the outcome of the race
• Run the simulation and record the outcome of the race
• Examine how various factors affected the outcome
• #### 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