
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
Shooters A and B shoot independently. Suppose the probability of shooter A hitting the target is 0.9, and the probability of shooter B hitting the target is 0.8. Calculate the probability of the following conditions:
(1) Both shooters A and B hit the target;
(2) At least one of shooters A and B hits the target.

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