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hi srinivas
first let us find out the sample space
S.S = no. of ways in which we can form set A and no of ways in which we can form set B
it is 2 n in both the cases ( nC0 + n C 1 + n C 2 + ............ nCn )
nC0 when the subset is null set , nC 1 when the subset contains 1 element it goes on when the subset contains all the
elements of the superset
so sample space = 2 n * 2 n = 4 n
now no of favourable ways
when P subset contains no element and Q subset contains n elements
P subset contains 1 element and Q subsets contains n - 1 elements
.
P subset contains r elements and Q subset contains n - r elements
..
p subset contains n elements and Q subset contains no element
∑nr=0 nCr (2)(n-r)=(3)n
so the probability is (3/4) n
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