
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
Consider a rectangle with uniform grid points containing a total of 100 points, including on the edges. Point $P$ is positioned in the center of the rectangle. When point $Q$ is chosen randomly from the other 99 points, find the probability that the line $PQ$ is a line of symmetry for the rectangle.

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