
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
A bag contains five pieces of paper, each labeled with one of the digits $1$, $3$, $5$, $7$, and $9$. Three of these pieces are drawn, one at a time without replacement, to construct a three-digit number. Determine the probability that the three-digit number is a multiple of $3$.

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