
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
The reality game show Survivor is played with 18 people divided into three tribes of 6 each. In the first episode, three people get homesick and quit. If every person has an equal chance of being one of the three quitters, and the probability that one person quits is independent of the probability that any other person quits, what is the probability that all three people who quit are from the same tribe?

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