
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
Allen and Carla each arrive at a café at a random time between 3:00 PM and 4:00 PM. Allen stays for 20 minutes, and Carla stays for 10 minutes. What is the probability that Allen and Carla see each other at the café?

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