
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
Xiaoqiang and Xiaohua, two classmates, agreed to meet beside the fountain at Daliang Clock Tower Park in the afternoon. They agreed that whoever arrives first must wait for 10 minutes, and if the other person has not arrived by then, they can leave. If Xiaoqiang arrives between 1:20 and 2:00, and assuming Xiaohua arrives sometime between 1:00 and 2:00, with the arrival time within this hour being equally likely, then the probability that they will meet is ______.

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