
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 box contains 4 balls, numbered 1, 2, 3, and 4, respectively. These 4 balls are identical in all aspects except for their numbers. First, a ball is randomly drawn from the box, and its number is recorded as $X$. The ball is then placed back into the box, and another ball is randomly drawn, with its number recorded as $Y$.

(1) List all possible outcomes.
(2) Calculate the probability of event $A=$"the sum of the numbers on the drawn balls is less than 4".
(3) Calculate the probability of event $B=$"the number on the first drawn ball is less than that on the second drawn ball".

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