
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
An archer has a probability of 0.9 to hit the target with each shot, and the outcomes of the shots are independent of each other. What is the probability that in four consecutive shots, the archer misses the first target but hits the next three targets?

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