
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
Each of three boxes contains 30 parts. The first box has 27 standard parts, the second box has 28 standard parts, and the third box has 25 standard parts. One part is randomly taken from each box. What is the probability that all three parts taken are standard?

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