
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
If three, standard, 6-faced dice are rolled, what is the probability that the sum of the face up integers is 17, given that at least two of the dice show the same number?

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