
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
If two distinct numbers are selected at random from the first ten prime numbers, what is the probability that their sum is an even number or their product is divisible by 5? Express your answer as a common fraction.

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