
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
Given that the sum of the numbers rolled determines the radius of a circle, and the radius is used to calculate the area and circumference of the circle, calculate the probability that the numerical value of the area of the circle is less than the numerical value of the circle's circumference.

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