
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
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}
$ 

Present the answer in LaTex format: \boxed{Your answer}
user