
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
Given that there are 5 balls of the same size, each marked with the numbers 1, 2, 3, 4, and 5, and two balls are drawn sequentially with replacement, determine the total number of possible values for the random variable $\xi$, which represents the sum of the numbers on the two balls.

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