
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
I have a drawer containing 5 shirts, 4 pairs of pants, and 7 pairs of socks. What is the probability of randomly selecting two shirts, one pair of pants, and two pairs of socks when drawing five articles of clothing?

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