
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
Person A and Person B are shooting, with the probabilities of hitting the target being 0.8 and 0.9, respectively. If both shoot at the same time independently, the probability that they both hit the target is.

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