
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
There are five unmarked envelopes on a table, each containing a letter addressed to a different person. If the letters are randomly distributed to these five people, with each person receiving one letter, what is the probability that no one gets the correct letter?

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