
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
Two individuals, A and B, each take one shot, with probabilities of hitting the target being $\frac{2}{3}$ and $\frac{3}{4}$ respectively. Assume that whether each person hits the target or not does not affect the other; and whether each shot hits the target or not does not affect the other.
(1) Calculate the probability that person A, after shooting 4 times, misses the target at least once;
(2) Calculate the probability that, after both A and B shoot 4 times each, A hits the target exactly twice and B hits the target exactly three times.

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