Probability in Everyday Life


pair of dice


A WebQuest for High School Mathematics (Algebra I)

Designed by

John Surgett
surgett@nmmi.edu



Introduction | Task | Process | Evaluation | Conclusion | Credits | Standards


Introduction

We have learned the basics of probability in the classroom, but when and where is probability used in everyday life?  Can you think of some examples of when you have used probability to make a prediction or decision?  Predicting who will be the next President of the United States or the method insurance companies use to determine your monthly car insurance payment are both examples of everyday uses of probability. 



The Task

In this activity you will review basic probability using online activities, explore various ways probability is used in everyday life, and explain in your own words an everyday use of probability.




The Process                                                                           

In this webquest, you may work with others but you are each responsible for turning in your own work.  There are two parts to this webquest:  Part one is a review of probability and Part two is an exploration of probability and how it is utilized in our daily lives.

Part I - Review of Probability
Use the links below to explore the various types of probability we have discussed in class.  Use the probability activities to complete this worksheet.  Hints and tips on using the activities listed below are Italicized.  If you need additional assistance, go to the "help" tab located at the top of the page of each online activity.

One die
Click "Yes" for cumulative stats (this will keep a record of the number of times each car wins).  

Two dice
Find one or two other students to complete this activity.  Each player chooses their "lucky" number (from 2 - 12).  Each time a player's number is rolled, the player is moved forward one space. 

Spinner
Change the number of sectors on the spinner to see how it affects the probability of spinning a particular color.


Part II - Probability in Everyday Life

Now that you have had a quick review of probability, let's explore how this mathematical concept is used in our daily lives.  You are to pick one topic dealing with the use of probability to gain a better understanding of how it is used in everyday life.  After you have researched the topic that interests you, write about your topic (the more detail, the better).  You will then use your research to compose a formal paper on your topic.  Here are some topics with questions to help you get started:

Probability and Genetics
  1. How is probability used to explain the basic principles of heredity?
  2. How is probability used to determine the likelihood of an unborn child inheriting an unwanted trait or genetic disease? 
  3. Is it ethical for a couple to attempt to have a child if the probability is high that the child may be born with a genetic disease or other abnormality?  Why or why not?
Probability and Gambling
  1. Do you believe that gambling would increase or decrease if people understood the mathematics behind probability and their chances of actually winning?  Why or why not?
  2. How do casinos use probability to ensure that they always make money?
  3. If the casinos always make money, how do some people win when gambling at casinos?
Probability and the Stock Market
  1. Is investing in the stock market a gamble?
  2. Does society consider investing in the stock market the same as gambling at a casino?  Why or why not?
Probability and Insurance
  1. Is it fair for car insurance companies to assume that some drivers are a "higher risk" and charge them more for insurance based on the probability that they may be involved in an accident?
  2. For drivers today, who typically pays more for car insurance:  male or female drivers?  Why? 
  3. Do other insurance companies (home insurance, life insurance, etc.) use probability to calculate their rates? If they don't, should they?
  4. Should people who smoke have to pay more for health insurance than those who do not smoke?
  5. What about individuals with a family history of serious diseases?  Or people who have stressful jobs?  Are these good reasons for health insurance companies to charge more for individuals who may be more "at risk" of becoming ill?  Why or why not? 
Here are some links to help you with your research:

Probability and Genetics

Probability and Genetic Diseases

Probability and Car Insurance Rates

Risk Analysis

Probability and Gambling

More on Probability and Gambling



Evaluation


Beginning

5

Developing

10

Accomplished

15

Exemplary

20

Score

 

Probability Worksheet - Explanations
Few questions are answered using proper English and complete sentences and most answers are unclear and disorganized
Most questions are not answered using proper English and complete sentences but most answers are clear and organized
Most questions are answered using proper English and complete sentences. Most answers are clear and organized
All questions are answered using proper English and complete sentences. Answers are clear and organized


Probability Worksheet - Calculations
Few calculations shown
Most calculations are shown, but some are unclear or missing steps
Most calculations are shown in a clear and logical format
All calculations are shown in a clear and logical format

 

Written Explanation of Probability Topic

 

The paper is not written in student's own words and most of the explanation is unclear and unorganized
The paper is written in student's own words but the explanation is unclear and/or unorgainized
The paper is  written in student's own words and most of the explanation is clear and organized
The paper is written in student's own words and is a clear and organized explanation of the topic



Conclusion

After completing this webquest you should not only have a better understanding of probability, but you should also be more aware of its applications in everyday life.  Hopefully this activity will cause you to reexamine events that you may have thought were simply "luck" or "chance" to see that they actually have a mathematical foundation.



Credits & References
http://images.google.com/images?hl=en&q=dice&gbv=2 - Dice picture
http://www.shodor.org/interactivate/activities - Online probability activities
http://www.facstaff.bucknell.edu/udaepp/090/w3/matthewr.htm - Probability and genetics
http://www.stat.washington.edu/thompson/Genetics/1.2_alleles.html - Probability and genetic diseases
http://www.cotf.edu/ete/modules/volcanoes/vrisk.html - Probability and risk analysis
http://www.powerhousemuseum.com/gambling/common/index.html - Probability and gambling
http://www.insurance.com/quotes/Article.aspx/artid/259 - Probability and car insurance rates


Last updated on January 29, 2008 Based on a template from The WebQuest Page