
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]


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Three fair, standard six-sided dice are rolled. What is the probability that the sum of the numbers on the top faces is 16 and at least two of the numbers rolled are the same? Express your answer as a common fraction.

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