
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 eight-sided die each morning. If Bob rolls any prime number, he drinks coffee. If he rolls a composite or 1, he drinks tea. If Bob rolls an 8, then he rolls again. In a leap year, calculate the expected difference between the number of days Bob drinks coffee and the number of days he drinks tea.

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