
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
Five shooters have a probability of hitting the target of $\frac{2}{3}$ each. If these five shooters shoot at the same target three times, calculate the probability that all five shooters hit the target at least once in these three attempts.

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