
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 current game season of Survivor has been expanded to include 32 people, divided equally into two tribes of 16 each. Just like in the previous seasons, in the first episode, two participants feel overwhelmed and decide to quit the show. Given that each participant is equally likely to quit and the decision of one does not affect the decision of another, what is the probability that both participants who decide to quit come from the same tribe?

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