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1、概率論試題及答案（Probabilitytheoryquestionsandanswers）PaperOneFillintheblanks(2pointsperday,atotalof10points)1.isthethreerandomevents,atleasttwocanbeexpressedas______________________.2.throwadice,"saidoddpoint","saidthenumberisnotgreaterthan3,"said______________________.Twoeventsofthe3.knownexc
2、lusivecontent,is___________.4.totworandomevents,and,is___________.5.isthethreerandomevents,andatleast,theprobabilityofoccurrencefora___________.Two,singlechoice(fouroptionseverydayinonlyonecorrectanswer,pleasefillinthenumberofcorrectanswersinparentheses.Everyday2points,atotalof20points)
3、1.taketwoballsfromabagcontaining2redballsand2whiteballs,andremember"take2whiteballs",then().(A)2redballs(B)weretakenand1whiteballsweretaken(C)didnottakethewhiteball(D)andtookatleast1redballs2.pairsofflipacointest,"appearpositive"knownas().(A)randomevents(B)necessaryevents(C)theimpossibl
4、eevent(D)samplespace3.setAandBasrandomevents,then().(A)A(B)B(C)AB(D)Phi4.setandisanytwoprobabilityisnotzeromutuallyexclusiveevent,thenthefollowingconclusionisdefinitelycorrect().(A)andmutualexclusion(B)andnonmutualexclusion(C)(D)5.totworandomevents,andthenthefollowingformulaiscorrect().
5、(A)(B)(C)(D)6.,independentofeachother;().(A)(B)(C)(D)The7.setisthreerandomevents,andthereare...(A)0.1(B)0.6(C)0.8(D)0.78.foraseriesofindependenttrials,theprobabilityofsuccessforeachtrialwasp,andtheprobabilityoffailure3timesbeforethesuccessof2was.(A)P2(1-P)3(B)4P(1-P)3(C)5,P,2(1-P)3(D)4,
6、P2(1-P)39.A,Btwoandrandomevents,thefollowingformulaiscorrect,().(A)(B)(C)(D)10.whentheeventAandBoccuratthesametime,theeventCmustoccur,then().(A)P(AB)=P(C)(B)P(A)+P(B)-P(C)=1(C)P(A)+P(B)-P(C)=1(D)P(A)+P(B)=P(C)Three,calculationandapplication(everyday8points,atotalof64points)Equippedwith5
7、whiteball1.bags,3blackballs.Taketwofromeachother.Theprobabilityofgettingtwoballsofdifferentcolors.2.10thereare3keystoopenthedoorlock.Taketwothingsatthistime.Theprobabilityofopeningadoor.3.thereare6studentslivinginadormitory,Ask4ofthemtohavetheirbirthdaysinthesamemonth.Ofthe4.50
