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Please find below the solution to the asked query:

We know that toal subset of A=2nNowWe need to choose two subsets out of 2n=2nC2=2n2n-12×1=2n-12n-1We needP=Q' Q'=All elements of A which are not in QSo we need to choose Q and put remaining elements of A in P.Number of ways of choosing P and Q subsets is 2nBut every selection of Pand Q appears twice, hence total number oways of choosing P and Q=2n2=2n-1Required Probabilty=2n-12n-12n-1=12n-1 Answer

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