
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]


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On the game show $\text{\emph{Wheel of Fortune Plus}}$, the spinner is divided into six equal segments. The segment values are Bankrupt, $1000$, $500$, $300$, $400$, and $700$. If each segment is equally likely to be landed on, what is the probability of earning exactly $2200$ after three spins? Represent your answer as a common fraction.

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