
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 (1, 3) and jumps in sequences where each jump is 2 units long in one of the four cardinal directions: up, down, right, or left. Each direction for a jump is chosen independently at random. The sequence of jumps ends when the frog reaches the boundary of the square defined by the vertices (0,0), (0,6), (6,6), and (6,0). Find the probability that the sequence of jumps ends on a vertical side of this square.

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