
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 now features 20 contestants who are split into two tribes of 10 each. In a surprising turn of events, three contestants decide to quit. Assuming each contestant has an equal chance of quitting, and the quitting of any contestant is independent of others, what is the probability that all three quitters are from the same tribe?

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