
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
John owns 12 pairs of socks: seven identical blue pairs, three identical green pairs, and two identical red pairs. If he picks two socks at random, what is the probability that they are the same color? Express your answer as a common fraction.

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