
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
A die is rolled three times, and the probability of rolling an even number is twice that of rolling an odd number. Calculate the probability that the sum of the numbers rolled is divisible by 3.

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