
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
A domino set is modified such that each integer from 0 to 12 is paired with every other integer from 0 to 12 exactly once. A $\textit{double}$ is defined as a domino with the same number on both squares. Calculate the probability that a randomly selected domino from this set will be a $\textit{double}$. Express the answer as a common fraction.

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