
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
Six people each should receive a letter, and there are six unmarked envelopes on a table, each containing a different letter addressed to one of them. If the letters are randomly distributed to these six people such that each person gets one letter, what is the probability that no one receives the correct letter?

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