
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
In a community singing contest participated by five students A, B, C, D, and E, each student's performance is arranged consecutively. If the performance order is determined randomly through a lottery (with sequence numbers 1, 2, 3, 4, 5):

1. What is the probability that at least one of the sequence numbers for students A and B is even?
2. What is the probability that the sequence numbers for students A and B are not adjacent?

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