Question

Let X,Y,Z⊆U. If Pr(X)=0.21, Pr(Y)=0.33, Pr(Z)=0.39, Pr(X∩Y)=0.09, Pr(X∩Z)=0.08, Pr(Y∩Z)=0.17, and Pr(X∩Y∩Z)=0.04, find the following values: Pr(X′∩Y∩Z′)....

Let X,Y,Z⊆U. If Pr(X)=0.21, Pr(Y)=0.33, Pr(Z)=0.39, Pr(X∩Y)=0.09, Pr(X∩Z)=0.08, Pr(Y∩Z)=0.17, and Pr(X∩Y∩Z)=0.04, find the following values:
Pr(X′∩Y∩Z′).

Pr(X′∩(Y∪Z′)).

Pr(X′).

Pr(X′∪Y∪Z′).

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