
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 singing competition, there are eight contestants left, five of whom are female and three are male. If three contestants are selected at random to proceed to the final round, what is the probability that all three are female? Express your answer as a common fraction.

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