
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
Two spinners are divided into quarters and fifths, respectively. The first spinner (quarters) has numbers 2, 4, 6, and 8. The second spinner (fifths) has numbers 1, 3, 5, 7, and 9. If each spinner is spun once, what is the probability that the product of the two spin results will be an even number? Express your answer as a common fraction.

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