
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
(The full score for this question is 12 points) There is a bag containing four balls that are identical in shape and size, and the balls are numbered 1, 2, 3, and 4.

(I) If two balls are randomly drawn from the bag, what is the probability that the sum of the numbers on the balls is no greater than 4?

(II) First, a ball is randomly drawn from the bag, and its number is noted as $m$. The ball is then returned to the bag. Next, another ball is drawn from the bag, and its number is noted as $n$. What is the probability that $n < m + 2$?

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