
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 and B each shoot once at a target, with probabilities of hitting the target being $\frac{2}{3}$ and $\frac{3}{4}$, respectively. It is assumed that whether each shot hits the target is independent of each other. (The answers should be in fraction form)
(1) Find the probability that A shoots 3 times and misses at least once.
(2) Find the probability that A shoots twice and hits the target both times while B shoots twice and hits the target exactly once.

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