
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
In a bag, there are $n$ red balls and $5$ white balls, where $n \in \mathbb{N}^*$. Two balls are randomly drawn from the bag each time. If the probability of drawing two balls of different colors is denoted as $p(n)$, then the maximum value of $p(n)$ is ____.

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