
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
When a certain unfair die is rolled, an even number is 2 times as likely to appear as an odd number. The die is rolled three times. What is the probability that the sum of the numbers rolled is even?
**A)** $\frac{8}{27}$
**B)** $\frac{1}{3}$
**C)** $\frac{14}{27}$
**D)** $\frac{15}{27}$
**E)** $\frac{2}{9}$

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