
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 5 balls of the same size in a bag, each marked with the numbers 1, 2, 3, 4, and 5. Now, under the condition of drawing with replacement, one ball is drawn at a time, its number is recorded, and then it is put back before drawing another one. Let the sum of the numbers on the two balls be the random variable $\xi$. Determine the total number of possible values for $\xi$.

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