
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
Two balls, labeled A and B, are randomly painted with one of four distinct colors, with each ball being painted with only one color. Find the probability that the two balls are painted with different colors.

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