
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
Consider the first 15 prime numbers. Five prime numbers are randomly selected without replacement. What is the probability that the sum of the five selected numbers is even? Express your answer as a common fraction.

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