
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
An unusual three-sided die has probabilities of landing on sides A, B, and C as $\frac{1}{3}$, $\frac{1}{2}$, and $\frac{1}{6}$, respectively. Each side corresponds to a monetary outcome: rolling A wins you 2 dollars, B loses you 4 dollars, and C gains you 6 dollars. What is your expected monetary outcome from rolling this die?

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