
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
There are eight cards of the same size in a pocket, among which three are marked with the number $1$, three are marked with the number $2$, and two are marked with the number $3$. A card is randomly drawn from the pocket, returned to the pocket, and then a second card is randomly drawn. Let $\xi$ represent the sum of the numbers on the first and second drawn cards. For what value of $\xi$ does the probability of occurrence reach its maximum? Please explain the reason.

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