
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 $(2, 3)$ on a square grid defined by the vertices $(0,0), (0,6), (6,6),$ and $(6,0)$. The frog makes jumps of length $1$ in directions parallel to the coordinate axes. Each direction for a jump is chosen randomly and independently. There is a pond at the point $(3,3)$ which the frog must avoid. If the frog jumps into the pond, the sequence ends without reaching the boundary. 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}
user