
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]


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There are four students, A, B, C, and D, who participate in after-school activities of the BaShu Love Heart Society and the BaShu Literary Style Society. Each student can only participate in one society's activity, and the probability of participating in each society is equal.
1. Calculate the probability that both the BaShu Love Heart Society and the BaShu Literary Style Society have at least one participant.
2. Calculate the probability that A and B are in the same society, while C and D are not in the same society.

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