
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
Spinners $A$ and $B$ are spun. Spinner $A$ contains numbers 1, 2, 3, 4, 5 and spinner $B$ contains numbers 1, 2, 3, 4. Each arrow is equally likely to land on each number. What is the probability that the product of the two spinners' numbers is even? Express your answer as a common fraction.

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