
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 labeled differently. The first spinner is divided into fifths, and the second into sixths. The numbers on the first spinner are 2, 4, 5, 7, and 9. The numbers on the second spinner are 1, 3, 4, 6, 8, and 10. If each spinner is spun once, what is the probability that the product of the results of the two spins is an even number? Express your answer as a common fraction.

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