
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
There are 3 interest groups, and students A and B each participate in one of them. The probability of each student participating in each group is the same. Then, the probability of these two students participating in the same interest group is (　　)

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