
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
These two spinners are now divided into halves and thirds, respectively. The first spinner has numbers {0, 2}; the second spinner has numbers {1, 3, 5}. If each of these spinners is spun once, what is the probability that the product of the results of the two spins will be an even number?

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