
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 targets, A and B. A shooter shoots at target A once with a hit probability of $\frac{3}{4}$, and shoots at target B twice, with a hit probability of $\frac{2}{3}$ for each shot. If the outcomes of the shots are independent of each other, calculate the probability that the shooter hits exactly one target in these three shots.

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