
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 sitting at the point $(2, 3)$ begins a sequence of jumps in a larger square with vertices at $(0,0), (0,6), (6,6), (6,0)$. Each jump is parallel to one of the coordinate axes and has a length of $1$. The direction of each jump (up, down, right, or left) is chosen independently at random. The sequence ends when the frog reaches the boundary of the square. Determine the probability that the sequence of jumps ends on a vertical side of the square.

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