
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 six-sided die is rolled twice, and the sum of the numbers rolled is calculated and recorded. This procedure is repeated three times (a total of six rolls). Find the probability that exactly one of the three recorded sums is a multiple of three.

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