
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
Max has misplaced Sheila’s phone number. He remembers that the first three digits are 504, 507, or 509. The remaining five digits are 2, 3, 5, 8, and 9, but he is uncertain of their order. If Max randomly dials an eight-digit number that meets these conditions, what is the probability that he dials Sheila’s correct number? Express your answer as a common fraction.

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