
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 two fair dice are rolled consecutively, and we record the outcomes as coordinates \(p(m, n)\) where \(m\) and \(n\) are the results of the first and second rolls respectively, then what is the probability that point \(p\) lies within the circle defined by \(x^2 + y^2 < 17\)?

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