
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 television show, five are female and three are male. If three are chosen randomly to be the final contestants, what is the probability that the group includes exactly two females and one male? Express your answer as a common fraction.

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