
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
A woman working as a cashier at a railway station saw that there were no customers in front of the window, sighed, posted a sign saying "Technical break 15 minutes," and left for exactly 15 minutes. When an Absent-Minded Scientist approached the cashier window, he saw that there were already five people in line in front of him, waiting patiently for the window to reopen. What is the probability that the cashier window will open no later than 3 minutes after the Scientist arrived?

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