
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
A bag contains 12 balls (five green, three yellow, and four blue). If you pick four balls from the bag at random and without replacement, what is the probability that exactly two will be green? Express your answer as a common fraction.

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