
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
Twelve points are spaced around at intervals of one unit around a $3 \times 3$ square, as shown. Two of the $12$ points are chosen at random. What is the probability that the two points are one unit apart?
A) $\frac{1}{6}$
B) $\frac{1}{11}$
C) $\frac{2}{11}$
D) $\frac{1}{5}$
E) $\frac{3}{11}$

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