
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 manager schedules a workshop at a cafe with three analysts under his supervision. He forgets to set a specific time, so all four arrive randomly between 3:00 and 5:00 p.m. The manager will leave if not all three analysts are present when he arrives. Each analyst will wait for up to 30 minutes for the others before leaving. What is the probability that the workshop occurs?

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