
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 shooters, A and B, each shoot at a target once. Shooter A has a probability of 0.8 of hitting the target, and shooter B has a probability of 0.9. Calculate:  
(1) The probability that both shooters hit the target;  
(2) The probability that exactly one shooter hits the target;  
(3) The probability that at least one shooter hits the target.

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