
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
The probability of successfully placing an order at a tailor shop is \( p < 1.0 \). A persistent customer visits all the tailor shops in the city until he succeeds. What is the probability that he will succeed no earlier than on the third attempt, given that the average number of attempts is 5?

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