
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
In Box A, there are 2 balls numbered 1 and 2. In Box B, there are 3 balls numbered 1, 2, and 3. If one ball is randomly drawn from each box, what is the probability that the sum of the numbers on the two balls is an odd number?

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