Let S be the universal set and (n)X = n. The probability of selecting two subsets A and B of the X such that $B =\bar{A}$ is:
Answer & explanation
Correct answer: option 3
X is the universal set.
Total number of ways of selecting 2 sets A and B. So two choices for each of elements
⇒ Total number of favorable cases = 2n
Probability = $\frac{2^n}{2^n×2^n}=\frac{1}{2^n}$