Probability in
Everyday Life

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
- How is probability used to explain the basic principles of
heredity?
- How is probability used to determine the likelihood of an
unborn child inheriting an unwanted trait or genetic disease?
- 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
- 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?
- How do casinos use probability to ensure that they always
make money?
- If the casinos always make money, how do some
people win when gambling at casinos?
Probability and the
Stock Market
- Is investing in the stock market a gamble?
- Does society consider investing in the stock market the
same as gambling at a casino? Why or why not?
Probability and
Insurance
- 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?
- For drivers today, who typically pays more for car
insurance: male or female drivers? Why?
- Do other insurance companies (home insurance, life
insurance, etc.) use probability to calculate their rates? If they
don't, should they?
- Should people who smoke have to pay more for health
insurance than those who do not smoke?
- 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
|