
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

There are a series of 7 Bernoulli trials, where success is defined as a hit that knocks down one of the two posts supporting the blue section of the fence. The probability of success in each trial is 2/7. What is the probability that the blue section will be damaged on all seven days (resulting in 7 successes)?

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