
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
Nine passengers enter three tram cars. Each passenger chooses a car at random. What is the probability that:

a) Three people will sit in the first car?

b) Each car will have three people?

c) Four people will sit in one car, three in another, and two in the third?

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