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#### De Morgan's Law

There are a couple of equivalent set notations on probabilities and they are called De Morgan’s Laws.

and

Now, let's solve the following problems.

- Given
P(A)=0.6 ,P(B)=0.3 andP(A∪B)=0.7 , findP(A∩B) andP(A′∪B′) .

First, we can use the formula for the union of two sets to determine the intersection.

Now we can use De Morgan’s Law to find

P(A′∪B′)=P(A∩B)′=1−P(A∪B)=1−0.2=0.8.

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