
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
A travel enthusiast plans to choose 2 countries to visit from 3 Asian countries \\(A_1, A_2, A_3\\) and 3 European countries \\(B_1, B_2, B_3\\).

(Ⅰ) If 2 countries are randomly selected from these 6 countries, find the probability that both countries are Asian countries;

(Ⅱ) If one country is randomly selected from both Asian and European countries, find the probability that these 2 countries include \\(A_1\\) but not \\(B_1\\).

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