
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 two bags, A and B. Bag A contains 2 red balls and 2 white balls, while Bag B contains 2 red balls and $n$ white balls. Someone randomly draws 2 balls from each of the two bags.  
(1) If $n=3$, find the probability that all 4 balls drawn are red.  
(2) If the probability of drawing at least 2 red balls out of the 4 is $\frac{3}{4}$, find the value of $n$.

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