
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
Three of the  $16$  squares from a  $4 \times 4$  grid of squares are selected at random. The probability that at least one corner square of the grid is selected is  $\frac{m}{n}$  , where  $m$  and  $n$  are relatively prime positive integers. Find  $m + n$ . $  \begin{tabular}{ | l | c | c | r| }
    \hline
     &  &  &  \hline
     &  &  &  \hline
        &  &  &  \hline
  &  &  & 
    \hline
  \end{tabular}
$ 

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