
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
There are two boxes, A and B, each containing four cards labeled with the numbers 1, 2, 3, and 4. One card is drawn from each box, and each card is equally likely to be chosen;
(I) Find the probability that the product of the numbers on the two cards drawn is divisible by 3;
(II) Suppose that Xiao Wang and Xiao Li draw two cards, and the person whose sum of the numbers on the two cards is greater wins. If Xiao Wang goes first and draws cards numbered 3 and 4, and the cards drawn by Xiao Wang are not returned to the boxes, Xiao Li draws next; find the probability that Xiao Wang wins.

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