
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
Monica tosses a fair 8-sided die. If the roll is a prime number less than 5, she wins that amount of dollars. If the roll is a multiple of 4, she loses that amount of dollars. If the roll is an even number less than 4, she wins twice the amount rolled. Otherwise, she wins nothing. What is the expected value of her winnings on one die toss? Express your answer as a dollar value to the nearest cent.

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