
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
A fair 8-sided die is rolled repeatedly until an odd number appears. What is the probability that each even number (2, 4, 6, 8) appears at least once before the first occurrence of any odd number?

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