Saw this somewhere

If a set \(X\) contains \(n\) elements. \(A\) and \(B\) are subsets of \(X\). What is the probability that union of \(A\) and \(B\) is \(X\)? If the answer is \(k^n\), find \(k\).

Note: \( A\) and \(B\) can be equal.

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