
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 a population of size $N$, a sample of size $n$ is drawn. When simple random sampling, systematic sampling, and stratified sampling methods are used, the probability of each individual in the population being selected is denoted as $P$, $P_2$, and $P_3$ respectively. Determine the relationship among these probabilities.

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