
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
Ken rolls 6 standard 8-sided dice, each die showing numbers from 1 to 8. What is the probability that the product of the 6 numbers obtained is divisible by 5?
A) $\frac{154495}{262144}$
B) $\frac{144495}{262144}$
C) $\frac{117649}{262144}$
D) $\frac{125000}{262144}$
E) $\frac{130000}{262144}$

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