
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
There are lily pads in a row numbered from $0$ to $15$. Predators are located on pads $4$, $7$, and $11$ respectively. A morsel of food is located on lily pad $14$. Fiona the frog starts on pad $0$, and from any given lily pad, Fiona has a $\frac{1}{2}$ chance of hopping to the next pad and an equal chance of jumping 2 pads forward. Determine the probability that Fiona reaches pad $14$ without landing on any pads with predators.
**A)** $\frac{3}{256}$ **B)** $\frac{1}{128}$ **C)** $\frac{1}{64}$ **D)** $\frac{1}{32}$

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