
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
Xiaocong arrives at Wuhan Station at 13:30, and then takes an intercity railway after resting for 1 hour at Wuhan Station. If Xiaoming takes a taxi from Chongkou Development Zone to Wuhan Station and arrives between 14:00 and 15:00, and then takes a high-speed train to Beijing that departs at 15:30, calculate the probability that the two friends can meet at Wuhan Station.

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