If A,B and C are three mutually exclusive events with:
FIND P(A) , P(B) AND P(C) ?
Soln, ( NEB/diploma)
Mutually exclusive is a statistical term describing two or more events that cannot happen simultaneously
i.eP(AnB)=P(BnC)=P(AnC)=P(AnBnC)=0
( FIRST METHOD
sum of all the probabilities is 1
P(A)+P(B)+P(C)=1 )
For finding the condition P(A)+P(B)+P(C)=1
You can use any of it.
( Next method Or,P(AuBuC)= P(A)+P(B)+P(C)- P(AnB)-P(BnC)-P(AnC)+P(AnBnC)
Or, P(AuBuC)= P(A)+P(B)+P(C)
Or, P(A)+P(B)+P(C)=1 )
Equating first and second,
2P(A)=P(B)
Equating second and third,
P(c)=4P(B)
P(A)+P(B)+P(C)=1
Or, P(A)+P(B)+4P(B)=1
Or, 1/2 P(A)+5P(B)=1
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