
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, Emily randomly picks two socks from her drawer. She owns 12 blue-bottomed socks, 10 red-bottomed socks, and 6 green-bottomed socks. What is the probability that she picks a matching pair of socks?

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