
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 three red, three blue, and three green marbles. Four marbles are randomly selected, without replacement. What is the probability that one marble of each color is selected, with an extra marble being red?

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