
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
Thomas has twelve socks in his drawer: three of each color (red, blue, green, and yellow). He randomly selects five socks. What is the probability that he has exactly two pairs of socks with different colors?

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