
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 that a sample of size 50 is to be extracted from a population of 1005 students using systematic sampling, determine the probability that each individual is removed and the probability that each individual is selected in the sample.

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