
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 and B each have three cards. A's cards are labeled with the numbers 1, 2, and 3, while B's cards are labeled with the numbers 0, 1, and 3. They each randomly draw one card. Let $a$ represent the number on A's drawn card and $b$ represent the number on B's drawn card. The probability that the product of $a$ and $b$ is odd is $\_\_\_\_\_\_.$

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