
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 red marbles, 8 blue marbles, and 5 green marbles. Four marbles are selected at random and without replacement. What is the probability that one marble is red, two are blue, and one is green? Express your answer as a common fraction.

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