
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, then she wins that amount in dollars. If the roll is composite or 1, she wins nothing. Otherwise, she loses 5 dollars. 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}
user