Question:
The probability that two randomly selected subsets of the set $\backslash\{1,2,3,4,5 \backslash\}$ have exactly two elements in their intersection, is:
Correct Option: , 2
Solution:
Required probability
$=\frac{{ }^{5} C_{2} \times 3^{3}}{4^{5}}$
$=\frac{10 \times 27}{2^{10}}=\frac{135}{2^{9}}$