
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
Given 2012 students, 12 are randomly eliminated and then 50 are systematically selected from the remaining 2000 individuals, determine the probability of each of the 2012 individuals being selected.

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