
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
Fred has twelve socks, three of each color: red, blue, green, and yellow. He randomly draws five socks. What is the probability that he has exactly one pair of socks with the same color and the other three socks each of different colors?

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