
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
On December 1, 2016, the Hankou-Xiaogan Intercity Railway officially began operations. Apart from the starting station (Hankou Station) and the terminal station (Xiaogan East Station), there are currently 7 intermediate stations along the route. Among them, there are 4 stations within the jurisdiction of Wuhan (Houhu Station, Jinyintan Station, Tianhe Airport Station, Tianhe Street Station), and 3 stations within the jurisdiction of Xiaogan (Minji Station, Maochen Station, Huaiyin Station). To understand the operation of this route, the transportation management department plans to select 2 of these 7 stations for research.  
(1) Calculate the probability of selecting one station from each jurisdiction;  
(2) Calculate the probability of selecting at least one station within the jurisdiction of Xiaogan.

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