
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 black bag contains 40 socks that feel identical but have different colors: 10 white, 12 red, and 18 black. If 3 socks are drawn from the bag, what is the probability that at least 1 pair of socks (2 socks of the same color) is drawn?

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