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Question

(d) Ways of selection two subset of $A = {({2^n})^2}$

Ways of selection $A \cup B$ and $A \cap B$ are ${2^n}$

$	herefore$ Required probabi

Vedclass · Accepted Answer

$1/{2^n}$

Vedclass · Answer

(d) Ways of selection two subset of $A = {({2^n})^2}$

Ways of selection $A \cup B$ and $A \cap B$ are ${2^n}$

$	herefore$ Required probability $ = \frac{{{m{favourable \,\,cases}}}}{{{m{total \,\,cases}}}} = \frac{{{2^n}}}{{{{({2^n})}^2}}} = \frac{1}{{{2^n}}}$.

Let $S$ be a set containing n elements and we select $2$ subsets $A$ and $B$ of $S$ at random then the probability that $A \cup B = S$ and $A \cap B = \phi $ is

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