
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
There are currently 6 companies participating in the bidding of a certain project, among which company $A$ is from Liaoning Province, companies $B$ and $C$ are from Fujian Province, and companies $D$, $E$, and $F$ are from Henan Province. This project requires two companies to collaborate on the construction, assuming that the probability of each company winning the bid is the same.

1. List all the winning bid situations;
2. What is the probability that at least one of the winning companies is from Fujian Province?

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