
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
A shooter conducted shooting training, and the first three shots landed on the target at points \\(A\\), \\(B\\), and \\(C\\), which are exactly the vertices of a triangle with side lengths of \\(5cm\\), \\(6cm\\), and \\(\sqrt{13}cm\\) respectively.  
\\((\\)I\\()\\) The scores (in rings) of the athlete's first three shots all fall within the interval \\([7.5,8.5)\\), and after adjustment, the athlete fired three more shots, with the scores (in rings) all within the interval \\([9.5,10.5)\\). Now, from these \\(6\\) shooting scores, two scores (denoted as \\(a\\) and \\(b\\)) are randomly selected for technical analysis. Calculate the probability of the event “\\(|a-b| > 1\\)”.  
\\((\\)II\\()\\) During the fourth shot, the athlete aimed at the area of \\(\triangle ABC\\) (without hitting outside \\(\triangle ABC\\)). What is the probability that the landing point of this shot is more than \\(1cm\\) away from \\(A\\), \\(B\\), and \\(C\\)? (The size of the bullet hole is negligible.)

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