
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 high school's liberal arts class has a total of 303 students and the school randomly selects 50 students using a method that involves first randomly sampling 3 people and then systematically sampling 49 additional people, calculate the probability that a specific student, Student A, is selected under this sampling method.

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