
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
Megan has lost Fatima's phone number again. This time, Megan remembers that the first three digits are either 297, 298, or 299. The remaining five digits are 0, 1, 5, 6, and 7, but she isn't sure of the order of these digits, and one of the digits is repeated once but she doesn't remember which one. If Megan randomly dials an eight-digit number that meets these conditions, what is the probability that she dials Fatima's correct number? Express your answer as a common fraction.

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