
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
Every morning when Emily wakes up, she randomly selects two socks from her drawer. If she has 12 gray-bottomed socks, 10 white-bottomed socks, and 6 black-bottomed socks, what is the probability that she picks a matching pair?

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