
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
Of the final eight contestants in a competition, five are female and three are male. If three contestants are chosen randomly to advance to the next round, what is the probability that exactly two are female and one is male?

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