
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
Thirteen green balls and seven red balls are in a bag. A ball is drawn from the bag, its color recorded, then placed back in the bag. This process is repeated two more times. What is the probability that all three balls drawn are the same color?

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