
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
A frog starts at the point $(2, 1)$ and begins a sequence of jumps in a larger square garden with vertices at $(0, 0)$, $(0, 5)$, $(5, 5)$, and $(5, 0)$. Each jump is exactly $1$ unit long and is parallel to one of the coordinate axes, with the direction chosen randomly: up, down, left, or right. The jumping sequence ends when the frog reaches any side of the square. Calculate the probability that the sequence ends on a vertical side of the square.

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