
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
2008 students are initially selected, with 8 randomly eliminated, resulting in 2000 students. Subsequently, 50 students are selected using systematic sampling from the remaining 2000 students. Determine the probability of each person being selected among the 2008 participants.

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