
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
John has forgotten Clara's phone number. He recalls that the first three digits are either 297, 298, or 299. The remaining five digits are 0, 1, 2, 6, and 7, but the order is unknown. If John tries guessing the number by randomly dialing a phone number that fits this format, what is the probability that he dials Clara's correct number? Express your answer as a common fraction.

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