
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 has been designed such that rolling an even number is twice 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) $\frac{17}{27}$
B) $\frac{16}{27}$
C) $\frac{26}{27}$
D) $\frac{25}{27}$
E) $\frac{24}{27}$

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