
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
Three numbers are independently selected from the set of positive integers less than or equal to 6. What is the probability that the product of the three numbers is greater than their sum plus 10? Express your answer as a common fraction.

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