Name:__________________________Date:__________
ProbabilityAreaModelActivityCompanion
Objective:Studentswilldevelopaprobabilityareamodelanduseittofindprobabilitiesofevents.
Materials:Maskingtape,dry-erasemarkers,plasticcups/containers,assortedcoloredcandiesormarbles
Directions:
1.) Labelonecupas“Container1”andasecondcupas“Container2.”
2.) Randomlychoose3piecesofcandyandputthemintoContainer1.Then,randomlychoose4piecesofcandy
andputthemintoContainer2(it’so.k.tohavemorethanoneofthesamecolor).
3.) Usingyourmaskingtape,constructalargesquareonthesurfaceofyourtableordesktop.
4.) Usingyourmarkers,labeltheleftcolumnofthesquare“Container1”andthetopcolumnofyoursquare
“Container2.”
5.) Useamarkertocompleteyourareamodelbycreating3rowsand4columnssincethereare3choicesin
Container1and4choicesinContainer2.
6.) Fillineachboxinsidetheareamodelusingcapitalletterstorepresenteachcombination.Forexample,RY
wouldrepresentchoosingRedfirstandYellowsecond.
7.) Moveontothechallengequestionsonthenextpageonceyouhavecompletedyourareamodel.
MASHUP MATH | Denver, CO | © 2016, MashUp Math, LLC| www.mashupmath.com
GuidedQuestions
1.) Identifythecapitalletterabbreviationsforeachofthe
followingoutcomes:
RedFirst,YellowSecond:___________
PinkFirst,OrangeSecond:__________
PinkFirst,PinkSecond:__________
2.) Afterbuildingyourareamodel,identifytheTOTAL
numberofpossibleoutcomesthereareinthisscenario.
Thereare________possibleoutcomesintotalbecause…
3.) Identifyoneoutcomewithaprobabilityof :________
4.) Identifyoneoutcomewithaprobabilityof
5.) Identifyoneoutcomewithaprobabilityof :_________
6.) Identifyoneoutcomewithaprobabilityof0:________
Container 1
Container 2
Container 2
Con
tain
er 1
MASHUP MATH | Denver, CO | © 2016, MashUp Math, LLC| www.mashupmath.com
ChallengeQuestions(ifyouareusingthesamecolorsastheVLOGexample)
1.) Whatistheprobabilityofgettingatleastonepink?_________
2.) Whatistheprobabilitytogettingzeroyellows?__________
3.)DescribeonewayyoucouldchangethisscenariotoensurethateveryoutcomeincludesaPink.
4.)DescribewhatyouthinkwouldhappenifyouweretorandomlyswapapieceofcandyfromContainer1
withapieceofcandyfromcontainer2.Wouldtheoutcomeschange?
BONUS:(WritingPrompt)Onaseparatepieceofpaper,explainwhyorwhynotitreasonabletoassume
thatorangeistheleastpopularflavorbasedonthesamplesizeandresultsofyourmodel.
Getmorefreemathworksheetsatwww.mashupmath.com>>>
MASHUP MATH | Denver, CO | © 2016, MashUp Math, LLC| www.mashupmath.com
ChallengeQuestions(ifstudentsarerandomlychoosingtheirowncolors)
1.) Whatistheprobabilityofgettingatleastone_______________?
insertcolorofyourchoice
2.) Whatistheprobabilitytogettingzero_______________(s)?
insertcolorofyourchoice
3.)Describeonewaythatyoucouldchangethisscenariotoensurethateveryoutcomeincludesa
_______________candy?
insertcolorofyourchoice
4.)DescribewhatyouthinkwouldhappenifyouweretorandomlyswapapieceofcandyfromContainer1
withapieceofcandyfromcontainer2.Wouldtheoutcomeschange?
BONUS:(WritingPrompt)Onaseparatepieceofpaper,explainwhyorwhynotitreasonabletoassume
thatoneparticularcoloristheleastpopularflavorbasedonthesamplesizeandresultsofyourmodel.
Getmorefreemathworksheetsatwww.mashupmath.com>>>
MASHUP MATH | Denver, CO | © 2016, MashUp Math, LLC| www.mashupmath.com