
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
Two people agree to meet between 7:00 AM and 8:00 AM, and the first person to arrive will wait for the other person for 20 minutes. The times at which they arrive at the designated meeting place between 7:00 AM and 8:00 AM are random and independent. What is the probability that they will meet?

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