
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
Given three boxes numbered $1$, $2$, and $3$, where box $1$ contains two balls labeled $1$, one ball labeled $2$, and one ball labeled $3$; box $2$ contains two balls labeled $1$ and one ball labeled $3$; and box $3$ contains three balls labeled $1$ and two balls labeled $2$, find the probability of drawing a ball labeled $3$ on the second draw.

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