
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
Mary is participating in the 20-question regional mathematics competition. Each question has four answer choices. She decides to guess the answers for the last five questions. What is the probability that she answers at least three of these five guessed questions correctly?

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