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1、Introduction?to?Probability?Probability?Examples?c1?Leif?Mejlbro?Download?free?books?at?LeifMejlbroProbabilityExamplesc-1IntroductiontoProbability2ProbabilityExamplesc-1–IntroductiontoProbability?2009LeifMejlbro&VentusPublishingApSISBN978-87-7681-515-83IntroductiontoProbabili
2、tyContentsContentsIntroduction51Sometheoreticalbackground62Settheory103Samplingwithandwithoutreplacement124Playingcards195Miscellaneous276Binomialdistribution357Lotto388Huyghens’exercise399Ballsinboxes4110Conditionalprobabilities,Bayes’sformula4211Stochasticindependency/depen
3、dency4812Probabilitiesofeventsbysettheory5113Therencontreproblemandsimilarexamples5314Strategyingames5715Bertrand’sparadox59Index61Fast-trackyourcareerMastersinManagementStandoutfromthecrowdDesignedforgraduateswithlessthanoneyearoffull-timepostgraduateworkexperience,LondonBus
4、inessSchool’sMastersinManagementwillexpandyourPleaseclicktheadvertthinkingandprovideyouwiththefoundationsforasuccessfulcareerinbusiness.Theprogrammeisdevelopedinconsultationwithrecruiterstoprovideyouwiththekeyskillsthattopemployersdemand.Through11monthsoffull-timestudy,youwil
5、lgainthebusinessknowledgeandcapabilitiestoincreaseyourcareerchoicesandstandoutfromthecrowd.LondonBusinessSchoolApplicationsarenowopenforentryinSeptember2011.Regent’sParkLondonNW14SAUnitedKingdomFormoreinformationvisitwww.london.edu/mim/Tel+44(0)2070007573Emailmim@london.eduem
6、ailmim@london.eduorcall+44(0)2070007573www.london.edu/mim/4IntroductiontoProbabilityIntroductionIntroductionThisisthe?rstbookofexamplesfromtheTheoryofProbability.Thistopicisnotmyfavourite,however,thankstomyformercolleague,OleJ?rsboe,Isomehowmanagedtogetanideaofwhatitisallabou
7、t.ThewayIhavetreatedthetopicwilloftendivergefromthemoreprofessionaltreatment.Ontheotherhand,itwillprobablyalsobeclosertothewayofthinkingwhichismorecommonamongmanyreaders,becauseIalsohadtostartfromscratch.Unfortunatelyerrorscannotbeavoidedina?rsteditionofaworkofthistype.Howeve
8、r,theauthorhastriedtoputthemonaminimum,hopingthatthereaderwillmeetwi