
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
Given a fair 8-sided die labeled from 1 to 8, find the probability that every even number (2, 4, 6, 7, 8) appears at least once before the first occurrence of an odd number (1, 3, 5).

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