Module19TestReviewWorksheet
1. Twonumbercubesarerolled;oneisredandtheotheriswhite.EventAisthe
numbersonthecubesmatch,eventBisthesumofthenumbersaddupto7,
andeventCisthatatleastonenumberrolledisa4.Determineeachprobability.
a. 𝑃(𝐵)
b. 𝑃(𝐶 ! )
c. 𝑃(𝐵 ∩ 𝐶)
d. 𝑃(𝐴 ∪ 𝐵)
2. Areviewofthebudgetsofseveraldepartmentsinacompanyfindsthat3ofthe
15budgetshaveerrors.Howcouldyouusethecomplementtodeterminethe
probabilitythatarandomlyselecteddepartmentwillNOThaveanerror?
3. Howmanydifferentpermutationscanbeformedusingallthelettersintheword
PROBABILITY?Showyourwork!
4. Thereare10finalistsinthe100-meterdashattheOlympicgames.Supposethat
allfinalistsareequallylikelytowin.
a. Howmanywayscanthetopthreemedals(gold,silver,andbronze)be
awarded?
b. Ifthesameawardsweregiventoagroupof11finalists,wouldthe
numberofwaysbe720(11)?Explainwhythisisincorrect.
c. Forwhattypeofsituationwouldthecalculation720(11)becorrect?
Explainyourreasoning.
5. APersonalIdentificationNumber(PIN)consistingoffourdigitsisusedtoaccess
anonlineaccount.InordertofindallofthepossiblePINs,wouldapermutation
oracombinationbeused?Explain.
6. Inhowmanywayscanthreepizzatoppingsbechosenfromtenoptions?
7. Acoinisflipped6timesandtheresultsarerecorded.
a. Whatistheprobabilitythatheadscomesupexactlythreetimes?
b. Whatistheprobabilitythatatleastthreetailscomeup?
c. Whatwouldchangetofindtheprobabilitythatnomorethanfourtails
comeup?
8. Thetableshowstheresultsofasurveyaskingpeopleiftheylistentorockmusic
andiftheylistentocountrymusic.RistheeventthepersonlistenstorockandC
istheeventthepersonlistenstocountry.
RC
Total
C
318
102
420
CC
114
166
280
Total
432
268
700
a) Arelisteningtorockandlisteningtocountrymutuallyexclusiveevents?
Explainyouranswer.
b) Whatistheprobabilityofrandomlyselectingapersonwholistenstorock,
butnotcountryorwholistenstocountry,butnotrock?Writeyouranswer
asadecimalroundedtothenearestthousandth.
9. Thetablebelowshowstheresultsofasurveyoffreshmenandsophomorehigh
schoolstudents.Eachstudentwasaskedifheorshepreferstohaveastudyhall
for1st,2nd,or3rdperiodclass.
Year
Freshman Sophomore
Preference
R
1st
18
20
2nd
5
10
3rd
25
6
a. Astudentisrandomlyselectedfromthegroup.Whatistheprobability
thattheselectedstudentisafreshmanorpreferredtohavea3rdperiod
studyhall?
b. Whatistheprobabilitythatastudentchosenatrandomprefers1st
periodstudyhallandisasophomore?
c. Describetheprobabilitydeterminedbythefollowing:
P(sophomore)+P(2ndperiod)–P(sophomoreand2ndperiod)