
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
In an opaque bag, there are two balls, each labeled with a number "$1$" and "$2$" respectively. Apart from the numbers, the two balls are indistinguishable. One ball is randomly drawn from the bag, its number is recorded, then returned to the bag and mixed. Another ball is randomly drawn from the bag, its number is recorded. The probability that the sum of the two recorded numbers is $3$ is ____.

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