
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
Given 8 teams, 3 of which are weak, if they are randomly divided into two groups, A and B, each with 4 teams:
(1) The probability that one of the groups (A or B) has exactly two weak teams;
(2) The probability that group A has at least two weak teams.

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