
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
Seven balls are numbered 1 through 7 and placed in a bowl. Alice will randomly choose a ball from the bowl, look at its number, and then put it back into the bowl. Then Alice will again randomly choose a ball from the bowl and look at its number. What is the probability that the product of the two numbers will be even and greater than 14? Express your answer as a common fraction.

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