
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 seven contestants in a game show, four 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? Express your answer as a common fraction.

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