
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, with the probability of hitting the target being $\frac{2}{3}$ and $\frac{3}{4}$, respectively. It is assumed that there is no influence between the two shooters regarding hitting the target, and there is also no influence between each individual's shots.
(1) Find the probability that A shoots 4 times and misses the target at least once;
(2) Find the probability that each person shoots 4 times, with A hitting the target exactly 2 times and B hitting the target exactly 3 times;
(3) Assume that a person stops shooting after missing the target consecutively twice. What is the probability that B is stopped after shooting exactly 5 times?

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