
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 knows the first part of Fatima's phone number begins with either 296, 299, or 298. The rest of the phone number consists of the digits 0, 1, 6, 7, and 9 - but she isn't sure of their order. Megan wants to try dialing numbers randomly that fit these criteria. If Megan dials a number that meets these conditions, what is the probability 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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