
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
Gretchen now has ten socks, two of each color: magenta, cyan, black, white, and red. She randomly draws five socks. What is the probability that she ends up with exactly one pair of socks of the same color?

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