
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
In a railway car compartment, there are two sofas facing each other, each with five seats. Out of ten passengers, four prefer to sit facing the locomotive, and three prefer to sit with their backs to it. What is the probability that two of the three passengers who do not care where they sit will end up next to each other?

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