
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
A bag contains balls of the same size and shape, including 1 red ball, 1 black ball, and $n$ white balls. The probability of drawing a white ball from the bag is $\frac{1}{2}$.

(1) Find the value of $n$;

(2) Let drawing a white ball from the bag score 2 points, drawing a black ball score 1 point, and drawing a red ball score 0 points. Now, draw 2 balls from the bag. Find the probability of scoring a total of 2 points.

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