
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 new season of the reality game show Survivor, 18 contestants are divided into two tribes of 9 members each. In the initial episode, two contestants decide to leave the game. Assuming that each contestant is equally likely to quit and the quitting is independently decided for each, what is the probability that both quitters are from the same tribe?

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