
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
Four balls marked $1, 2, 3,$ and $4$ are placed in an urn. One ball is drawn, its number is recorded, and then the ball is returned to the urn. This process is repeated four times, and each ball is equally likely to be drawn on each occasion. If the sum of the numbers recorded is $10$, find the probability that the ball numbered $3$ was drawn at least twice.

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