11 of Page Page 1 of 11 Math 1332 Secon 7A Example 1 A family with two children List all the outcome Soluon: Using B to represent a boy and G to represent a girl, there are four different possible birth orders (outcomes): B B, B G, G B, and GG
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
11ofPagePage1of11
Math1332Sec on7AMath1332Sec on7A
Example1
AfamilywithtwochildrenListalltheoutcomeAfamilywithtwochildrenListalltheoutcome
Solu on:Solu on:
UsingBtorepresentaboyandGtorepresentagirl,therearefourdifferentpossiblebirthorders(outcomes):BB,BG,GB,andGG
11ofPagePage2of11
Math1332Sec on7AMath1332Sec on7A
Example2
Applythetheore calmethodtofindtheprobabilityofthefollowing:
a.exactlyoneheadwhenyoutosstwocoins
b.ge nga3whenyourolla6-sideddie
Solu on:Solu on:
11ofPagePage3of11
Math1332Sec on7AMath1332Sec on7A
Example3
Thereare52playingcardsinastandarddeck.Therearefoursuits,knownashearts,spades,diamonds,andclubs.Eachsuithascardsforthenumbers2through10plusajack,queen,king,andace(foratotalof13cardsineachsuit).No cethatheartsanddiamondsarered,whilespadesandclubsareblack.Youdrawonecardatrandomfromastandarddeck.
Findthefollowingprobability
a) Aspadeisdrawn
b) AblackcardisdrawnAblackcardisdrawn
Solu on:Solu on:
PopperPopper
Problem1Problem1
Whatistheprobabilitythatfromadeckofcard,afacecardisdrawn(king,queenjack)?
a) 3/13 b) ½ c) ¼ d)Noneoftheabove
PopperPopper
Problem2Problem2
11ofPagePage4of11
Math1332Sec on7AMath1332Sec on7A
Whatistheprobabilitythatfromadeckofcard,aredcardisdrawn?a) 1/4 b) 1/6 c) ½ d) Noneoftheabove.1/4 b) 1/6 c) ½ d) Noneoftheabove.
Example4
Assuminganequalchanceofhavingaboyorgirlatbirth,whatistheprobabilityofhaving?
a) Allboysinafamilyoffourchildren?
b) ThreegirlsandoneboySolu on:Solu on:
11ofPagePage5of11
Math1332Sec on7AMath1332Sec on7A
PopperPopper
Problem3Problem3
Assuminganequalchanceofhavingaboyorgirlatbirth,whatistheprobabilityofhaving2boysandtwogirlsinafamilyoffourchildren?
a) 3/8 b)1 c)8/3 d)½ e)Noneoftheabove.3/8 b)1 c)8/3 d)½ e)Noneoftheabove.
PopperPopper
Problem4Problem4
Findtheprobabilityofatleastoneheadwhenyoutosstwofaircoins.
a) 2/4
b) 1/4
c) ¾
d) 1
11ofPagePage6of11
Math1332Sec on7AMath1332Sec on7A
Example5
Ifyouareinterestedonlyinthenumberofheadswhentossingtwocoins,thenthepossibleeventsare0heads,1head,and2heads.Supposeyourepeatatwo-cointoss100 mesandyourresultsareasfollows:
a) 0headsoccurs22 mes.b) 1headoccurs51 mes.c) 2headsoccurs27 mes.Comparetherela vefrequencyprobabili estothetheore calprobabili es.Doyouhavereasontosuspectthatthecoinsareunfair?Comparetherela vefrequencyprobabili estothetheore calprobabili es.Doyouhavereasontosuspectthatthecoinsareunfair?
Solu on:Solu on:
11ofPagePage7of11
Math1332Sec on7AMath1332Sec on7A
Example6
Iden fythemethodthatresultedinthefollowingstatements.
a.Iam100%certainthatyouwillbehappywiththishouse.b.Basedongovernmentdata,thechanceofdyinginanautomobileaccidentduringaone-yearperiodisabout1in8000
c.Theprobabilityofrollinga1witha6-sideddieis=1/6
Solu on
a) Subjec veSubjec ve
b) Rela veRela ve
c) Theore calTheore cal
11ofPagePage8of11
Math1332Sec on7AMath1332Sec on7A
Fromexample,4abovewefoundprobabilityofallboysare1/16Fromexample,4abovewefoundprobabilityofallboysare1/16
ProbabilityofNOboysallgirlsinthefamilyoffourchildrenwillbeProbabilityofNOboysallgirlsinthefamilyoffourchildrenwillbe
(1-1/16)=15/16(1-1/16)=15/16
Anotherexample:Anotherexample:
ProbabilityofraintodayinHoustonis0.4or40%ProbabilityofraintodayinHoustonis0.4or40%
ProbabilityofNOraintodayinHoustonis0.6or60%ProbabilityofNOraintodayinHoustonis0.6or60%
11ofPagePage9of11
Math1332Sec on7AMath1332Sec on7A
TwoDiceDistribution
Example7
Whatistheprobabilityforasumof12tooccurinrollingtwodices?Solu on:Solu on:
11ofPagePage10of11
Math1332Sec on7AMath1332Sec on7A
Example8
Whataretheoddsforge ngtwoheadsintossingtwofaircoins?
Solu onSolu on
Oddsforge ngtwoheadsintossingtwofaircoins
PopperPopper
Problem5Problem5
11ofPagePage11of11
Math1332Sec on7AMath1332Sec on7A
Findoddsagainstge ngtwotailsintossingtwofaircoins.
a) 3to1
b) 1to3
c) 4to0
d) 1to4
e) Noneoftheabove.Noneoftheabove.
Example9
Atacarrace,theoddsonBluecararegivenas7to2.Ifyoubet$10andBluecarwins,howmuchwillyougain?
Solu onSolu on
The7to2oddsmeanthat,foreach$2youbetonBluecar,yougain$7ifyouwin.A$10betisequivalenttofive$2bets,soyougain5(7)=$35
Youalsogetyour$10back,soyouwillreceive$45whenyoucollectonyourwinning cket.
Whatifyoulose?Howmuchwillyoulose?Whatifyoulose?Howmuchwillyoulose?
Related Documents
![g Z H P ? G D : B K D H ? A H G B G G H F B G : G K B J H ...На правах рукописи K l _ i Z g h e H e _ ] h \ g Z H P ? G D : B K D H ? A H G B G G H F B G : G K B J](https://static.cupdf.com/doc/110x72/60665ac94fb99e770f7b94fb/g-z-h-p-g-d-b-k-d-h-a-h-g-b-g-g-h-f-b-g-g-k-b-j-h-.jpg)
![W E ? D L J H F : = G ? L B A F D H E ? ; : G B Y B - UTMfizica.utm.md/documents_pdf/Indrumar de lab... · i; ] ^ _ b - . / b p. b g b g b g g n gg - . b b g g z g b b g, z g. b g,](https://static.cupdf.com/doc/110x72/5ec41a37735be534d03bba1d/w-e-d-l-j-h-f-g-l-b-a-f-d-h-e-g-b-y-b-de-lab-i-b-.jpg)
