
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
Frieda the frog now hops on a $4 \times 4$ grid of squares. She starts from the center square of the grid at position $(2,2)$. Each hop can move her one square up, down, left, or right, and hopping off one edge leads her to the opposite edge of the grid. Frieda stops hopping if she reaches any square on the outer border of the grid (either any corner square or any edge square). Calculate the probability that she stops hopping due to reaching an outer border within three hops.

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