
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 scenario where Frieda the frog begins her hops from an edge square (not a corner) on a $4 \times 4$ grid. She jumps up, down, left, or right (no diagonals), and still wraps around when hopping off the grid. Frieda makes at most five hops randomly and stops if she lands on a corner square. Calculate the probability that she reaches a corner square within these five hops.

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