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Soient A et B deux évènements d'un univers, comme A et Abarre forment une partition de l'univers on a :P(B)=P(A union B)+P(Abarre union B)=P(A)Pa(B)+P(Abarre)Pabarre(B)En effet, B=(A union B)U(Abarre union B) avec A union B et Abarre union B disjoints => P(B)=P(A union B)+P(Abarre union B) et Pa(B)=P(A union B)/P(A) => P(A union B)=P(A)*Pa(B)de même, Pabarre(B) P(abarre union B)/P(Abarre) => P(Abarre union B)=P(Abarre)*Pabarre(B)
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