
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
Given six individuals labeled as A, B, C, etc.,
(1) If these six individuals participate in an event simultaneously, with at least one person required to attend and the number of attendees to be decided, how many different attendance methods are there?
(2) If these six individuals participate in six different events simultaneously, with one person limited to each event, what is the probability that individual A does not participate in the first event, and individual B does not participate in the third event?
(3) If these six individuals participate in four different events simultaneously, what is the probability that each event has at least one person participating?

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