
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
I have 6 red plates, 3 light blue plates, and 3 dark blue plates. If I randomly select two plates to serve dinner on, what is the probability that they're both the same color or both blue (either dark or light)?

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