
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 marksman is conducting shooting practice. Assuming the probability of hitting the target with each shot is $\frac{3}{5}$, and that the outcomes of the shots are independent of each other. Given that the marksman shoots 5 times, find:  
(1) The probability that the marksman hits the target only on the first, third, and fifth shots;  
(2) The probability that exactly 3 shots hit the target.

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