Name
LESSON
Date
Class
Practice C
11-4 Compound Events
Cards numbered 1–25 are placed in a bag and one is drawn at
random. Find each probability.
14
___
25
3
__
5
1. Drawing an odd number or a multiple of 7.
2. Drawing an even number or a perfect square.
A drug company is testing the side effects of different doses of a new
drug on three different groups of volunteers.
Group
Volunteers
Daily Amount (mg)
A
353
150
B
467
200
C
310
250
3. If a volunteer is chosen randomly, what is the probability
that this person receives the highest amount per day?
4. If a volunteer is chosen randomly, what is the probability
that this person receives more than 150 mg per day?
5. If a volunteer is chosen randomly, what is the probability
that this person does NOT receive 200 mg per day?
31 or 0.27
____
113
777 or 0.69
_____
1130
663 or 0.59
_____
1130
Mr. Rodney’s English class is made up of 28 students. He has 6 ESL
students, 10 remedial students, and 5 advanced learners. ESL students
3 of the advanced learners.
1 of the remedial students and __
make up __
5
5
6. What is the probability that a student is ESL and remedial?
0.07
7. What is the probability that a student is ESL and an
advanced learner?
0.11
8. What is the probability that a student is remedial and
NOT ESL?
0.29
Solve.
9. A student is collecting a population of laboratory mice to be used in an
experiment. He finds that of the 236 mice in the lab, 173 mice are female
and 99 have pink eyes. Just 10 of the pink-eyed mice are male. What is
the probability that a mouse is female or has pink eyes?
183 or 0.78
____
236
10. A group of 4 friends buys a CD of computer screen savers. If there are a
total of 12 screen savers on the CD, what is the probability that at least
2 of the friends will choose the same screen saver for their computer?
0.43
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a207c11-4_pr.indd 29
29
Holt Algebra 2
12/26/05 7:21:04 AM
Process Black
*À>V̈ViÊ
--"
££‡{ #OMPOUND%VENTS
*À>V̈ViÊ
,%33/.
££‡{ #OMPOUND%VENTS
$ETERMINEWHICHEVENTSAREMUTUALLYEXCLUSIVE
!CANOFVEGETABLESWITHNOLABELHASA??
CHANCEOFBEINGGREEN
BEANSANDA??
CHANCEOFBEINGCORN
%XPLAINWHYTHEEVENTShGREENBEANSvORhCORNvAREMUTUALLYEXCLUSIVE
3TUDENTSAREFORMINGSOFTBALLTEAMSBYEACHPICKINGONEOFFOURDIFFERENT
COLORCARDSFROMABAG!RETHEEVENTShCHOOSINGAREDCARDvANDhCHOOSING
ABLUECARDvMUTUALLYEXCLUSIVE%XPLAINWHYORWHYNOT
/…iÃiÊiÛi˜ÌÃÊ>ÀiʓÕÌÕ>ÞÊiÝVÕÈÛiÊȘViÊi>V…ÊÃÌÕ`i˜ÌÊV>˜ÊV…œœÃiʜ˜Þʜ˜iÊV>À`°
4HESEEVENTSAREMUTUALLYEXCLUSIVEBECAUSEEACHCANCONTAINSONLYONETYPEOFVEGETABLE
/…iÃiÊiÛi˜ÌÃÊ>ÀiʘœÌʓÕÌÕ>ÞÊiÝVÕÈÛiÊȘViÊ>ÊV>À`ÊV>˜ÊLiÊLœÌ…ÊL>VŽÊ>˜`Ê>Ê£ä°
"ENROLLSAnNUMBERCUBE&INDEACHPROBABILITY
??
"ENROLLSAORA
3OLVE
!PPLESAREIN??
OFALLOFTHELUNCHBAGSTHATAREDISTRIBUTED
ATASCHOOLPICNICANDBANANASAREIN??
OFTHEBAGS7HAT
ISTHEPROBABILITYOFRANDOMLYCHOOSINGALUNCHBAGTHAT
CONTAINSEITHERANAPPLEORABANANA
x
0AMROLLSANODDNUMBERORANUMBERGREATERTHAN
5SETHEDATATOFILLINTHE6ENNDIAGRAM4HENSOLVE
/FTHEPEOPLEWHOCAMEINTOTHE)TALIANDELION&RIDAYBOUGHT
PIZZAANDUSEDACREDITCARD(ALFOFTHEPEOPLEWHOBOUGHTPIZZA
USEDACREDITCARD7HATISTHEPROBABILITYTHATACUSTOMERBOUGHTPIZZA
ORUSEDACREDITCARD
5SETHEDATATOFILLINTHE6ENNDIAGRAM4HENSOLVE
/FTHESTUDENTSGOINGONTHESOCCERTRIPAREPLAYERSANDARE
LEFTHANDED/NLYOFTHELEFTHANDEDSTUDENTSARESOCCERPLAYERS
7HATISTHEPROBABILITYTHATONEOFTHESTUDENTSONTHETRIPISASOCCER
PLAYERORISLEFTHANDED
£äÊʜÀÊä°ÇÇ
ÊÚÚÚ
£Î
????
OR
"OUGHT0IZZA
3OLVE
3OCCERPLAYERS
5SEDCREDITCARD
œÌʏ}iLÀ>ÊÓ
#OPYRIGHT©BY(OLT2INEHARTAND7INSTON
!LLRIGHTSRESERVED
#ARDSNUMBEREDnAREPLACEDINABAGANDONEISDRAWNAT
RANDOM&INDEACHPROBABILITY
(OLT!LGEBRA
!SIMPLEEVENTISANEVENTTHATCANNOTBEBROKENDOWNANYFURTHER
!COMPOUNDEVENTISANEVENTMADEUPOFTWOORMORESIMPLEEVENTS
ÚÚÚ
Ê£{ÊÊ
Óx
ÚÚ
ÊÎÊ
x
$RAWINGANODDNUMBERORAMULTIPLEOF
$RAWINGANEVENNUMBERORAPERFECTSQUARE
2OLLINGAONANUMBERCUBEISASIMPLEEVENTWHILEROLLINGANEVEN
NUMBERISACOMPOUNDEVENT
-UTUALLYEXCLUSIVEEVENTSAREEVENTSTHATCANNOTOCCURATTHESAMETIME
!DRUGCOMPANYISTESTINGTHESIDEEFFECTSOFDIFFERENTDOSESOFANEW
DRUGONTHREEDIFFERENTGROUPSOFVOLUNTEERS
'ROUP
6OLUNTEERS
$AILY!MOUNTMG
!
"
#
4OSSINGHEADSANDTOSSINGTAILSAREMUTUALLYEXCLUSIVEEVENTS4HEY
CANNOTHAPPENONTHESAMETOSSOFACOIN
!DDITION2ULEFORTHE0ROBABILITYOF-UTUALLY%XCLUSIVE%VENTS
!AND"AREMUTUALLYEXCLUSIVEEVENTS
)FAVOLUNTEERISCHOSENRANDOMLYWHATISTHEPROBABILITY
THATTHISPERSONRECEIVESTHEHIGHESTAMOUNTPERDAY
)FAVOLUNTEERISCHOSENRANDOMLYWHATISTHEPROBABILITY
THATTHISPERSONRECEIVESMORETHANMGPERDAY
)FAVOLUNTEERISCHOSENRANDOMLYWHATISTHEPROBABILITY
THATTHISPERSONDOES./4RECEIVEMGPERDAY
0S!OR"D0S!D0S"D
!CARDISDRAWNFROMTHEDECK7HATISTHEPROBABILITYOFDRAWINGAORA
FACECARDFROMTHEDECK
ÚÚÚÚ
ÊΣÊÊʜÀÊä°ÓÇ
££Î
ÚÚÚÚÚ
ÊÇÇÇÊÊʜÀÊä°È™
££Îä
ÚÚÚÚÚ
ÊÈÈÎÊÊʜÀÊä°x™
££Îä
3TEP $ECIDEWHETHERTHEEVENTSAREMUTUALLYEXCLUSIVE
!CARDCANNOTBEBOTHANDAFACECARD
4HEEVENTSAREMUTUALLYEXCLUSIVE
3TEP &INDTHEPROBABILITYOFDRAWINGA
0SD???
???
3TEP &INDTHEPROBABILITYOFDRAWINGAFACECARD
???
0FACECARD???
-R2ODNEYS%NGLISHCLASSISMADEUPOFSTUDENTS(EHAS%3,
STUDENTSREMEDIALSTUDENTSANDADVANCEDLEARNERS%3,STUDENTS
MAKEUP??
OFTHEREMEDIALSTUDENTSAND??
OFTHEADVANCEDLEARNERS
4HEREAREFOURSINA
DECKOFCARDS
4HEREAREFACECARDS
INADECKOFCARDS
7HATISTHEPROBABILITYTHATASTUDENTIS%3,ANDREMEDIAL
ä°äÇ
7HATISTHEPROBABILITYTHATASTUDENTIS%3,ANDAN
ADVANCEDLEARNER
ä°££
3TEP 5SETHERULEFORTHEPROBABILITYOFMUTUALLYEXCLUSIVEEVENTS
0ORFACECARD0SD0FACECARD
???
???
???
7HATISTHEPROBABILITYTHATASTUDENTISREMEDIALAND
./4%3,
ä°Ó™
4ONIDRAWSACARDFROMADECK&INDEACHPROBABILITY
£Î
A 0NUMBERCARD
!STUDENTISCOLLECTINGAPOPULATIONOFLABORATORYMICETOBEUSEDINAN
EXPERIMENT(EFINDSTHATOFTHEMICEINTHELABMICEAREFEMALE
ANDHAVEPINKEYES*USTOFTHEPINKEYEDMICEAREMALE7HATIS
THEPROBABILITYTHATAMOUSEISFEMALEORHASPINKEYES
£ÊÊÊ
ÊÚÚÚ
£Î
B 0KING
ÚÚÚ
Ê££Ê
C 0NUMBERCARDORKING0NUMBERCARD0KING
ÚÚÚÚ
Ê œÀÊä°Çn
Ê£nÎÊ
ÓÎÈ
£Î
A 0ACE
ÚÚÚ
Ê£ÊÊÊ
£Î
B 0QUEEN
ä°{Î
C 0ACEORQUEEN0ACE0QUEEN
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
œÌʏ}iLÀ>ÊÓ
#OPY©BY(OLT2INEHARTAND7INSTON
!LLSRESERVED
57
£Î
ÚÚÚ
Ê£ÊÊÊ
3HEDRAWSANACEORAQUEEN
!GROUPOFFRIENDSBUYSA#$OFCOMPUTERSCREENSAVERS)FTHEREAREA
TOTALOFSCREENSAVERSONTHE#$WHATISTHEPROBABILITYTHATATLEAST
OFTHEFRIENDSWILLCHOOSETHESAMESCREENSAVERFORTHEIRCOMPUTER
#OPYRIGHT©BY(OLT2INEHARTAND7INSTON
!LLRIGHTSRESERVED
ÚÚÚ
Ê£äÊ
3HEDRAWSANUMBERCARDORAKING
3OLVE
,iÌi>V…
--"
££‡{ #OMPOUND%VENTS
*À>V̈ViÊ
--"
££‡{ #OMPOUND%VENTS
4HEREAREPEOPLEINAGARDENINGCLUB%ACHGARDENERORDERSSEEDS
FROMALISTOFDIFFERENTTYPESOFSEEDSAVAILABLE7HATISTHEPROBABILITY
THATGARDENERSWILLORDERTHESAMETYPEOFSEEDS
,EFTHANDED
??
7HATISTHEPROBABILITYTHATADOCTORDOESNOTPRACTICE
FAMILYMEDICINEORISFROMTHE5NITED3TATES
Ó
ÊÚÓÊ
Î
0AMROLLSANODDNUMBERORA
???
7HATISTHEPROBABILITYTHATADOCTORPRACTICESFAMILY
MEDICINEORISNOTFROMTHE5NITED3TATES
£
Ú
Ê£Ê
0AMROLLSANODDOREVENNUMBER
??
7HATISTHEPROBABILITYTHATADOCTORPRACTICESFAMILY
MEDICINEORISFROMTHE5NITED3TATES
Ú
Ê£Ê
Î
Ú
Ê£Ê
Ó
0AMROLLSANEVENNUMBER
/FTHEDOCTORSWHOATTENDEDACONFERENCEPRACTICEDFAMILY
MEDICINEANDWEREFROMCOUNTRIESOUTSIDETHE5NITED3TATES
/NETHIRDOFTHEFAMILYMEDICINEPRACTITIONERSWERENOTFROMTHE
5NITED3TATES
ÚÚ
ÊÓÊ
0AMROLLSAORA
??
"ENROLLSAPRIMENUMBERORANODDNUMBER
£Ó
0AMROLLSAnNUMBERCUBE&INDEACHPROBABILITY
#OPYRIGHT©BY(OLT2INEHARTAND7INSTON
!LLRIGHTSRESERVED
??
"ENROLLSANUMBERGREATERTHANORANEVENNUMBER
ÚÚÚ
ÊÇÊÊÊ
!GROUPOFSENIORCITIZENSHAVEWONFREEVACATIONPACKAGES
4HEVACATIONTO"ERMUDAISCHOSENBYOFTHEM
CHOOSE!LASKAANDCHOOSE#OSTA2ICA7HATISTHE
PROBABILITYTHATONERANDOMLYSELECTEDSENIORCITIZENCHOOSES
TOVACATIONIN#OSTA2ICAOR"ERMUDA
AK4up.indd 57
???
7HATISTHEPROBABILITYTHATANUNLABELEDCANOFVEGETABLES
ISEITHERGREENBEANSORCORN
!RETHEEVENTShCHOOSINGABLACKCARDvFROMADECKOFPLAYINGCARDSAND
hCHOOSINGAvMUTUALLYEXCLUSIVE%XPLAINWHYORWHYNOT
ÓÊÊÊ
ÊÚÚÚ
£Î
œÌʏ}iLÀ>ÊÓ
Holt Algebra 2
12/26/05 6:50:12 AM