
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
Six balls are numbered 1 through 6 and placed in a bowl. Josh will randomly choose a ball from the bowl, look at its number, and then put it back into the bowl. He then randomly chooses a ball from the bowl again and looks at its number. What is the probability that the product of the two numbers will be odd and greater than 15? Express your answer as a common fraction.

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