
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 a bag containing cards labeled with numbers $1$, $2$, and $3$ each, a card is drawn each time, the number is recorded, and then the card is put back. The drawing stops when all three numbered cards have been drawn. Determine the probability that the drawing stops exactly after $5$ draws.

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