
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
Among the following statements, the correct one is:  
(1) The probability of event A or B happening is definitely greater than the probability of exactly one of A or B happening;  
(2) The probability of events A and B happening simultaneously is definitely less than the probability of exactly one of A or B happening;  
(3) Mutually exclusive events are definitely complementary events, and complementary events are also mutually exclusive events;  
(4) Complementary events are definitely mutually exclusive events, but mutually exclusive events are not necessarily complementary events;  
(5) If A and B are complementary events, then A+B cannot be a certain event.

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