
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
Bob rolls a fair six-sided die each morning. If Bob rolls a composite number (4 or 6), he eats sweetened cereal. If he rolls a prime number (2, 3, or 5), he eats unsweetened cereal. If he rolls a 1, then he eats a healthy option (e.g., granola). What is the expected value of the difference between the number of days Bob eats unsweetened cereal and the number of days he eats sweetened cereal in a non-leap year?

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