
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 tile set consists of rectangular tiles, each divided into two squares. Each square can display an integer from 0-6, and each integer can pair with every other integer, including itself, exactly once in the set. A $\textit{double}$ tile has the same integer on both squares. Calculate the probability that a randomly selected tile from this set is a $\textit{double}$.

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