TreeDiagrams-Probability Name:________________________
Abagcontains3blackballsand5whiteballs.Paulpicksaballatrandomfromthebagandreplacesitbackin
thebag.Hemixestheballsinthebagandthenpicksanotherballatrandomfromthebag.
a)Constructaprobabilitytreeoftheproblem.
b)CalculatetheprobabilitythatPaulpicks:
i)twoblackballs
ii)ablackballinhisseconddraw
Aboxcontains4redand2bluechips.Achipisdrawnatrandomandthenreplaced.Asecondchipisthen
drawnatrandom.
a)Showallthepossibleoutcomesusingaprobabilitytreediagram.
b)Calculatetheprobabilityofgetting:
(i)atleastoneblue.
(ii)oneredandoneblue.
(iii)twoofthesamecolor.
Jackwakesuplate3daysinevery5.
IfJackwakesuplate,theprobabilityheislateforschoolis9/10.
IfJackdoesnotwakeuplate,theprobabilityheislateforschoolis3/10.
OnwhatpercentofdaysdoesJackgettoschoolontime?
Tina’sfavoritemealispasta,followedbyicecream.
Tina’smomcookspastaonceaweek.Ifshecookspasta,theprobabilityTinagetsicecreamis2/3.
Ifthereisnotpasta,theprobabilityoficecreamis¼.WhatistheprobabilityTinagetsicecream?
TheProbailityofafinedayis3/7,whiletheprobabilityofawetdayis4/7
Ifitisafineday,Joegoestoworkby:
Bike—7/10
Drives—2/10
Train—1/10
Ifitisawetday,Joegoestoworkby:
Bike—1/9
Drives—5/9
Train—3/9
WhatistheprobabilityJoetakesthetrain?
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SupposeJamalcanchoosetogethomefromworkbytaxiorbus.
• Choosetaxi,hegetshomeafter7pm8%ofthetime
• Choosebus,hegetshomeafter7pm15%ofthetime
• Becausethebusischeaper,heusesthebus60%ofthetime
WhatistheapproximateprobabilitythatJamalchosetogethomebybus,giventhathearrivedafter7pm?