
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 Expanded is played with 18 contestants divided into three tribes: two tribes of 6 people each, and one tribe of 6 people. During the first episode, two contestants get homesick and quit. Each person has an equal chance of being one of the quitters, and the probability that one person quits is independent of the probability that any other person quits. Calculate the probability that both contestants who quit are from the same tribe.

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