
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 meeting at a café with two team members but does not specify a time. They each independently arrive at random times between 3:00 and 5:00 p.m. If the manager arrives and not both team members are there, he leaves immediately. Each team member will wait for up to 1.5 hours for the other before leaving. Determine the probability that the meeting successfully takes place.

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