
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 independently perform shooting, with the probability of A hitting the target being $0.9$, and the probability of B hitting the target being $0.8$. Calculate the following probabilities:
1. The probability that both A and B hit the target.
2. The probability that at least one of A and B hits the target.

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