
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
A bag contains five identical balls labeled with the numbers 1, 2, 3, 4, and 5. Two balls are drawn one after the other with replacement from the bag. Let the number on the first ball drawn be $x$, and the number on the second ball be $y$.
(1) List all the elementary outcomes;
(2) Calculate the probability that $x + y$ is a multiple of 3.

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