
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 unit is trialing a clock-in system for work, stipulating that employees must start at 8:30, with a 15-minute valid clock-in time (i.e., 8:15-8:30). An employee arrives at the unit randomly between 7:50 and 8:30. The probability that they can clock in without waiting is ___.

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