There are $10$ seats in each of $10$ rows of a theatre and all the seats are numbered. What is the probablity that two friends buying tickets independently will occupy adjacent seats?

$ 
\textbf{a)}\ \dfrac{1}{55}
\qquad\textbf{b)}\ \dfrac{1}{50}
\qquad\textbf{c)}\ \dfrac{2}{55}
\qquad\textbf{d)}\ \dfrac{1}{25}
\qquad\textbf{e)}\ \text{None of above}
$