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TRANSCRIPT
� �
!Probability
Videos244,245,250onCorbettmaths
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Question1: Theohas3redsweetsand2whitesweets. Hepicksasweetatrandom.
(a)WritedowntheprobabilitythatTheopicksaredsweet.
(b)WritedowntheprobabilitythatTheopicksawhitesweet.
Question2: Leahhas12cards,eachwithashapeonit. Shetakesacardatrandom.
(a)WhatistheprobabilitythatLeahtakesacardwithastaronit?
(b)WhatistheprobabilitythatLeahtakesacardwithatriangleonit?
(c)WhatistheprobabilitythatLeahtakesacardwithacircleonit?
Question3: Ralphhas9cards,eachwithanumberonit.
Hepicksacardatrandom. Writedowntheprobabilitythatthechosencardis
(a)thenumber8 (b)anevennumber (c)anumberlessthan7
(d)amultipleof4 (e)asquarenumber (f)aprimenumber
Question4: Thereare12redroses,5yellowrosesand3whiterosesinavase. Felixtakesarose,atrandom,fromthevase.
(a)Writedowntheprobabilitythathetakesawhiterose.(b)Writedowntheprobabilitythathetakesaredorawhiterose.(c)WritedowntheprobabilitythatFelixtakesarosethatisnotred.
Examples
Workout
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� �
!Probability
Videos244,245,250onCorbettmaths
Question5: Leonthrowsabiasedcoin. Theprobabilityofgettingtailsis0.4 Workouttheprobabilityofgettingheads.
Question6: Edithplantsadaffodilbulb. Theprobabilitythatthebulbwillgrowis0.8 Whatistheprobabilitythatthebulbwillnotgrow?
Question7: WycombeWanderersplayamatchoffootball. Theprobabilitythattheywinthematchis0.28 Theprobabilitythattheydrawthematchis0.55 Workouttheprobabilitythattheylosethematch.Question8: Evelynhas80pensinadrawer. 15pensareblackandtheotherpensareblue.
Evelynpicksapenatrandomfromthedrawer.
(a)WhatistheprobabilitythatEvelynpicksablackpen? (b)WhatistheprobabilitythatEvelynpicksabluepen?
Question9: Thereare20countersinabag.
2ofthecountersarewhite. 1ofthecountersispink. 4ofthecountersareblack. Therestofthecountersarepurple.
Cartertakesacounteratrandomfromthebag. Showthattheprobabilitythatthecounteriswhiteorpurpleis�
Question10: Thereareonlypink,yellow,greenandbluecountersinabag. Thetableshowstheprobabilitythatacountertakenatrandomfromthebag willbepink,greenorblue.
(a)Workouttheprobabilitythatthecountertakenisyellow
Thereare40countersinthebag.
(b)Workoutthenumberofbluecountersinthebag.
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� �
!Probability
Videos244,245,250onCorbettmaths
Question11: Darcyhasabiasedspinner. Aspinnerhassectionslabelled1,2,3,4and5. Thetablebelowshowsinformationaboutsomeoftheprobabilities
Workoutthevalueofx.
Question12: FrederickorganisesarafYleforhisschoolfayre. Thetopprizeisarideinahotairballoon,whichwillbewonby1ticket. AltogetherFredericksells700rafYletickets. MissRobinsonbuys5ticketsfortherafYle. WorkouttheprobabilitythatMissRobinsondoesnotwin.
Question13: Thereare20sweetsinabox.Theprobabilitythatachocolateispickedatrandomfromtheboxis0.6 Howmanychocolatesareinthebox?
Question14: Abagcontains600colouredcounters. Thecountersareyellow,brownororange. Thereare117yellowcountersinthebag. Theprobabilitythatabrowncounterischosenfromthebagis0.35 Calculatethenumberoforangecountersinthebag.
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Question1: Meganhasafair6sidedspinner. ThespinnerhasthelettersA,BandConit.
TheprobabilitythatthespinnerwilllandonanAis�
TheprobabilitythatthespinnerwilllandonaCis� Writethelettersonthespinner.
Apply
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� �
!Probability
Videos244,245,250onCorbettmaths
Question2: Elliotthaseightnumberedcards.
Oneofthecardsischosenatrandom. Elliottsays: Theprobabilityofa8is� Therangeofthenumbersis5. Theprobabilityofanumbergreaterthan10is0. Theprobabilityofa7is� Fillinthesixmissingnumbers.
Question3: Thetwo-waytablegivesinformationabout90peoplewhosattheirdrivingtest.
(a)Completethetwo-waytable
Apersonispickedatrandom.
(b)Writedowntheprobabilitythatthepersonfailedtheirdrivingtest.
(c)Writedowntheprobabilitythatthepersonhadunder20drivinglessons.
Somebodywhopassedtheirdrivingtestispickedatrandom.
(d)Workouttheprobabilitythatthispersonhadunder20drivinglessons.
Question4: Isaachasmadetwofairspinners. Spinner1has10equalsizedsections. Spinner2has4equalsizedsections.
Isaacsays
“Itismorelikelytogeta4onspinner1thanspinner2becausetherearetwonumber4sonspinner1andonlyonenumber4onspinner2.”
ExplainwhyIsaacisincorrect.
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� �
!Probability
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Question5: Thetableshowstheshoesizeof23students.
Astudentispickedatrandom.
(a)Workouttheprobabilitythatthestudenthasashoesizeof8. (b)Workouttheprobabilitythatthestudenthasashoesizeof7orsmaller.
Question6: Afootballteamcanwin,draworloseamatch. Thetableshowstheprobabilitiesofeachresult.
Eachwinisworth3points. Eachdrawisworth1point. Eachlossisworth0points. Thefootballteamplays40gamesinaseason.
Workouthowmanypointsthefootballteamshouldreceiveinoneseason.
Question7: Beatricehasabiasedfoursidedspinner. Thetableshowstheprobabilitiesthatthespinnerwilllandona2or3.
Theprobabilitythatthespinnerwilllandon1isthreetimestheprobabilitythat thespinnerwilllandon4.
Workouttheprobabilitythatthespinnerwilllandon1.
Question8: Finnhassomesweetsinabag. 5ofthesweetsarelemonYlavoured. 7ofthesweetsarestrawberryYlavoured. TherestofthesweetsaremintYlavoured.
TheprobabilitythatFinntakesamintYlavouredsweetis�
HowmanymintYlavouredsweetsareinthebag?
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!Probability
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Question9: Graciehasmorethan5coins. Thetotalvalueofthecoinsis50p.
Gracieisgoingtopickoneofthecoinsatrandom. TheprobabilitythatGraciepicksa1pcoinis�
ListallthecoinsthatGraciehas.
Question10: Aboxcontainslegoblocksofthesamesize. Eachblockiswhite,blue,greenorred.
Thetableshowstheprobabilitiesthatablockpickedatrandomiswhite,blueorred. (a)Workouttheprobabilityofagreenblock
Thereare60redlegoblocks.
(b)Howmanywhitelegoblocksarethere?
Question11: Abagcontainsgoodandbadapples. noftheapplesaregood. Theother5applesarebad.
(a)Writedownanexpression,intermsofn,forthenumberofapplesinthebagaltogether.
Maryamwilltakeatrandom,anapplefromthebag.
(b)Writedownanexpression,intermsofn,fortheprobabilitythatMaryamwilltakeagood apple.
(c)Writedownanexpression,intermsofn,fortheprobabilitythatMaryamwilltakeabad apple.
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!Probability
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Question12: Thereareonlyred,blackandgreenpensinabox.
Therearethreetimesasmanyredpensasgreenpens. Therearefourasmanyblackpensthanredpens.
Workouttheprobabilityofablackpenbeingselected.
� Answers
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