
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 participants divided into two tribes; one tribe has 10 people and the other has 8. In the initial episode, three participants decide to leave the show. What is the probability that all three quitters come from the same tribe?

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