
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 shooting athlete is undergoing shooting training. The landing points of the first three shots on the target, A, B, and C, are exactly the three vertices of an equilateral triangle with a side length of 3cm.

(I) The scores (ring numbers) of the athlete's first three shots are all within the interval [7.5, 8.5). After making some adjustments and shooting three more times, the scores are all within the interval [9.5, 10.5). Now, two shooting scores (denoted as a and b) are randomly selected from these six shooting scores for technical analysis. Calculate the probability of the event "|a - b| > 1".

(II) During the fourth shot, the athlete aimed at the region of △ABC (without shooting outside △ABC). What is the probability that the landing point of this shot is more than 1cm away from A, B, and C (ignoring the size of the bullet hole)?

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