
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 Frieda the frog starts from one of the center squares of a $4 \times 4$ grid and moves up, down, left or right, without diagonal moves, wrapping around the opposite edges when hopping off the grid side. If she lands on any edge within three hops, calculate the probability of this occurrence.

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