
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
When shooting at the target three times, the probabilities of hitting the target on the first, second, and third shots are 0.4, 0.5, and 0.7, respectively. Calculate the probability of hitting the target exactly twice in three shots.

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