
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
Consider two boxes labeled as A and B, each containing four balls with labels 1, 2, 3, and 4. One ball is drawn from each box, and each ball has an equal chance of being drawn.

(1) Calculate the probability that the two drawn balls have consecutive numbers.
(2) Calculate the probability that the sum of the numbers on the two drawn balls is divisible by 3.

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