
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 $(2, 1)$ on a coordinate grid inside a square bounded by $(0,0), (0,5), (5,5),$ and $(5,0)$. Each jump the frog makes is parallel to the coordinate axes and has length $1$. The direction of each jump (up, down, right, or left) is chosen randomly. The sequence of jumps ends when the frog reaches any side of the square. What is the probability that the sequence of jumps ends on a vertical side of the square?
A) $\frac{1}{2}$  
B) $\frac{11}{24}$  
C) $\frac{13}{24}$  
D) $\frac{2}{3}$  
E) $\frac{3}{5}$

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