
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 a bag, there are four balls with identical shapes and sizes, labeled with the numbers 3, 4, 5, and 6.
(1) If two balls are drawn randomly from the bag, what is the probability that the sum of their numbers is not greater than 8?
(2) One ball is drawn randomly from the bag and its number is denoted as m. After returning the ball to the bag, another ball is drawn and its number is denoted as n. Calculate the probability that $n \geq m + 2$.

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