
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
A legendary story goes that once Stirling was contemplating Stirling numbers of the second kind and absentmindedly threw 10 fair six-sided dice onto the table. After one throw, he suddenly noticed that all numbers from 1 to 6 appeared in the combination of rolled values. Stirling then pondered, what is the probability of such an event? What is the probability that when throwing 10 dice, each number from 1 to 6 appears at least once?

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