
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
William is taking the 30-question, multiple-choice American Mathematics Competition. Each question has five answer choices. William guesses random answers for the last six questions. What is the probability that he will get at least one of these final six questions right?

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