
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
Aidan rolls a pair of fair, six sided dice. Let $ n$  be the probability that the product of the two numbers at the top is prime. Given that  $n$  can be written as  $a/b$  , where  $a$  and  $b$  are relatively prime positive integers, find  $a +b$ .

*Proposed by Aidan Duncan*

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