
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 another episode of the game show $\text{\emph{Wheel of Fraction}}$, the spinner has been updated. The spinner now includes the following amounts: "$\text{Bankrupt}$", "$\$2000$", "$\$600$", "$\$3500$", "$\$800$". Each region has equal area. What is the probability that you earn exactly $\$3400$ in your first three spins? Assume you avoid bankruptcy in all spins.

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