
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
To understand the status of mass sports activities in a certain city, it is planned to use stratified sampling to select 5 factories for investigation from three districts A, B, and C. It is known that these three districts have 9, 18, and 18 factories respectively.
(1) Calculate the number of factories to be selected from districts A, B, and C respectively.
(2) If 2 factories are randomly selected from the 5 sampled factories for a comparative investigation, calculate the probability that at least one of the two factories comes from district C.

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