
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 that a frog starts on stone 2 in a river and jumps with a probability of $\frac{N}{6}$ to the stone $N-1$ and with a probability of $1 - \frac{N}{6}$ to the stone $N+1$, where $0 < N < 6$, find the probability that the frog reaches the riverbank without falling into the water.

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