
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 new spinners are being used in a game. The first spinner is divided into thirds, with options 3, 4, and 7. The second spinner is divided into fifths, with options 1, 4, 5, 6, and 8. If each spinner is spun once, what is the probability that the product of the results of the two spins 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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