
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
Determine the probability of worker A being selected as a representative using the following method: From 2009 workers, first eliminate 9 people through simple random sampling, leaving 2000 people. Then select 100 representatives from the remaining 2000 using systematic sampling.

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