
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
Alice rolls a fair eight-sided die each morning. If Alice rolls an even number, she jogs in the morning. If she rolls an odd number, she does yoga. If she rolls an 8, then she rolls again. In a leap year, what is the expected number of times Alice will roll her die?

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