
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
When throwing two fair cubic dice, estimate the probability of the sum of the numbers being 10 using the random simulation method. Determine the number of digits in each group of generated integer random numbers.

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