
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
Lisa has 10 socks, two of each color: red, blue, green, orange, and purple. She randomly draws five socks. What is the probability that she draws exactly one pair of socks with the same color and the remaining three socks all different colors?

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