
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 class has three interest groups: Mathematics, Natural Science, and Humanities, each with three members. Now, one person from each group is selected to participate in a seminar.  
(I) Calculate the probability that student A from the Mathematics group is not selected, and student B from the Natural Science group is selected;  
(II) Calculate the probability that at least one of student A from the Mathematics group and student B from the Natural Science group is not selected.

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