
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
A fair 8-sided die is rolled. If the roll is even, then you win double that amount of dollars. If the roll is odd, you win nothing. What is the expected value of your winnings? Express your answer as a dollar value.

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