To Replace or Not to Replace? That Is The Question

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Statistics: Probability and Random Variables

Level

9-12

Activity Time

90 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 4 from the EXPLORATIONS Book:
Exploring Mathematics with the Probability Simulation Application.

Resource Types

Lessons

Report an Issue

To Replace or Not to Replace? That Is The Question

Activity Overview

In this activity, students explore situations that involve compound events with and without replacement. They use different ways to conceptualize theoretical probability.

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 49 - 56 from the attached PDF file for your class

During the Activity

Distribute the pages to your class.

Follow the Activity procedures:

Start the Probability Simulation application

Carry out four trials of a simulation of a compound event with replacement and a compound event without replacement

Simulate 100 trials and pool the results of the entire class

For each scenario carry out at least 2000 trials, to rule out the possibility of difference in relative frequency due to chance variation

Understand that the probability of a same pick is greater in the compound event with replacement

Observe how the relative frequency of the outcome changes if the sample size is increased while maintaining the same ratio in the compound event

Summarize the combinations using a probability tree diagram for compound events or geometric area models

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

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

90 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 4 from the EXPLORATIONS Book:
Exploring Mathematics with the Probability Simulation Application.

Resource Types

Lessons

Report an Issue

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To Replace or Not to Replace? That Is The Question

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

To Replace or Not to Replace? That Is The Question

Before the Activity Files

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

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