
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
David needs to meet his friend Paul, who is arriving randomly between 1:00 PM and 2:00 PM and waits for 30 minutes before he leaves. If David also arrives randomly within the same hour, what is the probability that Paul will still be there when David arrives?

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