2024 - 2025
The,probability,of,any,event,is,between,one,and,o.,What,is,the,equation,for,this?,,ANS,-
For,any,event,A,,0,≤,P(A),≤,1.
The,sum,of,all,possible,probabilities,is___?,,ANS,-One,,the,equation,is,:P(S),=,1
What,is,the,complement,rule?,or,the,probability,that,an,event,does,not,occur,is,1,minus,the,probability
,that,it,does,occur.,,ANS,-P(not,A),=,1,-,P(A)
In,probability,,"OR",means,either,one,or,the,other,or,both.,,ANS,-
P(A,or,B),=,P(event,A,occurs,or,event,B,occurs,or,both,occur)
Two,events,that,cannot,occur,at,the,same,time,are,called,,ANS,-disjoint,or,mutually,exclusive
The,Addition,Rule,for,Disjoint,Events:,,ANS,-If,A,and,B,are,disjoint,events,,then,P(A,or,B),=,P(A),+,P(B).
P(A,and,B),=,,ANS,-P(event,A,occurs,and,event,B,occurs)
The,idea,of,disjoint,events,is,,ANS,-
is,about,whether,or,not,it,is,possible,for,the,events,to,occur,at,the,same,time
The,idea,of,independent,events,is,about,,ANS,-
whether,or,not,the,events,affect,each,other,in,the,sense,that,the,occurrence,of,one,event,affects,the,p
robability,of,the,occurrence,of,the,other
If,A,and,B,Disjoint,,ANS,-A,and,B,can,not,be,indepentdent
If,A,and,B,are,two,independent,events,(Multiplication,Rule),,ANS,-P(A,and,B),=,P(A),*,P(B).
, if,A,,B,and,C,are,three,independent,events,,,ANS,-P(A,and,B,and,C),=,P(A),*,P(B),*,P(C)
The,Complement,Rule,,,ANS,-P(A),=,1,-,P(not,A),
P(L),=,1,-,P(not,L),=,1,-
,P(not,O1,and,not,O2,and,not,O3,and,not,O4,and,not,O5,and,not,O6,and,not,O7,and,not,O8,and,not,O
9,and,not,O10).,,ANS,-Applying,the,Multiplication,rule:Now,,using,the,multiplication,rule,,=,1,-
,(.56,*,.56,*,.56,*,.56,*,.56,*,.56,*,.56,*,.56,*,.56,*,.56),=,1,-,.003,=,.997.
P(at,least,one,person,chosen,has,blood,type,O),,ANS,-
P((O,and,O),or,(O,and,not,O),or,(not,O,and,O)),=,(.44,*,.44),+,(.44,*,.56),+,(.56,*,.44),=,.6864.
If,A,and,B,are,disjoint,events,-,,ANS,-P(A,and,B)=,0
The,General,Addition,Rule,states,that,for,any,two,events,,,ANS,-P(A,or,B),=,P(A),+,P(B),-,P(A,and,B)
When,each,of,two,outcomes,has,two,possible,values,(yes/no),,,ANS,-
there,are,four,possible,combinations,altogether,,which,correspond,to,the,four,possible,outcomes.
How,do,we,build,a,two-way,table,of,probabilities?,,ANS,-
Horizontally,,A,,not,A,and,total,,Vertically,,B.,not,B,and,total
In,a,two-way,table,of,probabilities,,what,is,the,total,of,all,outcomes,(lower,right,corner?),,ANS,-1
Two,events,A,and,B,are,independent,if,any,one,of,the,following,hold:,,ANS,-P(B,|,A),=,P(B)
P(A,|,B),=,P(A)
P(B,|,A),=,P(B,|,not,A)
P(A,and,B),=,P(A),*,P(B)