
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]


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When two dice are thrown at the same time (each side is marked with the numbers 1, 2, 3, 4, 5, 6), the probability that the product of the numbers facing up is an even number is ______.

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