
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
On the game show $\text{\emph{Wheel of Fortune II}}$, the following spinner is displayed. Assuming each region is of equal area, what is the probability of earning exactly $\$5800$ in three spins? The spinner is divided into five regions with values: "Bankrupt", "$\$1000$", "$\$800$", "$\$5000$", "$\$1000$".

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