
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 number randomly selected from the positive even numbers not exceeding 30 can be represented as the sum of two different Fermat prime numbers. Calculate the probability of this event.

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