
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
During a counter-terrorism exercise, three armed helicopters from our side launched attacks on the same target from different positions (each firing one missile). Due to weather conditions, the probabilities of the missiles hitting the target are 0.9, 0.9, and 0.8, respectively. If at least two missiles need to hit the target to destroy it, then calculate the probability of the target being destroyed.

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