
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
In a rectangular grid, there are 100 uniformly spaced points arranged in a 10 by 10 formation. Point \( R \) is exactly at the center of the rectangle. If point \( S \) is chosen randomly from the remaining 99 points, what is the probability that the line \( RS \) is a line of symmetry for the rectangle?
A) \( \frac{1}{10} \)
B) \( \frac{1}{9} \)
C) \( \frac{16}{99} \)
D) \( \frac{1}{6} \)

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