
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 two countries to visit from 3 Asian countries \\(A_1, A_2, A_3\\) and 3 European countries \\(B_1, B_2, B_3\\).

\\((1)\\) If two countries are randomly selected from these 6 countries, what is the probability that both countries are from Asia?

\\((2)\\) If one country is randomly selected from the Asian countries and one from the European countries, what is the probability that these two countries include \\(A_1\\) but not \\(B_1\\)?

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