
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
Suppose there is a bag containing $3$ red balls, $2$ yellow balls, and $1$ blue ball. It is stipulated that drawing a red ball scores $1$ point, drawing a yellow ball scores $2$ points, and drawing a blue ball scores $3$ points. Now, if $2$ balls are drawn from the bag (with replacement, and each ball has an equal chance of being drawn), the probability that the sum of the scores of these $2$ balls is $3$ points is \_\_\_\_\_\_.

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