
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
Five good friends plan to ride the Disneyland park train, which has four carriages. Assuming that each passenger is equally likely to enter any of the carriages, what is the probability that none of the five friends will be alone (i.e., in any carriage, there will always be at least two of the five people)?

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