
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 the square defined by the vertices (0,0), (0,5), (5,5), and (5,0), an initially positioned frog at point (2, 2) makes random jumps of length 1 parallel to the coordinate axes. Calculate 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