
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
Three students, Jia, Yi, and Bing, are to randomly select one of two communities, A or B, to participate in social practice activities.
(1) Determine the probability that Jia, Yi, and Bing participate in social practice activities in the same community.
(2) Determine the probability that at least two of Jia, Yi, and Bing participate in social practice activities in community A.

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