
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 two red, two blue, and two green marbles. Four marbles are drawn without replacement. What is the probability that exactly two marbles share the same color and the other two each have different colors? Express your answer as a common fraction.

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