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

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