
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
An 8-sided die, numbered from 1 to 8, is repeatedly rolled until an odd number appears. What is the probability that every even number - 2, 4, 6, and 8 - appears at least once before the first occurrence of an odd number?
A) $\frac{1}{240}$
B) $\frac{1}{120}$
C) $\frac{1}{384}$
D) $\frac{1}{192}$
E) $\frac{1}{24}$

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