
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 lily pads numbered $0$ to $15$ with predators on pads $4$, $7$, and $11$, and a morsel of food on pad $14$. Fiona the frog starts on pad $0$ and has a $\frac{1}{2}$ chance to hop to the next pad, or an equal chance to jump $2$ pads. Find the probability that Fiona reaches pad $14$ without landing on either pad $4$, $7$, or $11$.

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