
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
Each of two spinners is divided differently: one into fifths and the other into sixths. The first spinner has numbers 2, 4, 5, 7, and 9, and the second spinner has numbers 1, 2, 3, 4, 5, and 6. 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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