
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
There are 8 balls, each independently painted either red, black, or white. The probability of painting each color is equal. What is the probability that for any selected ball, it is painted a color different from more than half of the other balls?
A) $\frac{1}{3921}$
B) $\frac{560}{6561}$
C) $\frac{1680}{6561}$
D) $\frac{2187}{6561}$
E) $\frac{3087}{6561}$

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