
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 unfair die is structured such that rolling an even number is 4 times as likely as rolling an odd number. This die is rolled three times. What is the probability that the sum of the numbers rolled is even?
A) \( \frac{49}{125} \)
B) \( \frac{76}{125} \)
C) \( \frac{99}{125} \)
D) \( \frac{81}{125} \)
E) \( \frac{102}{125} \)

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