
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 equally spaced along the perimeter of a $3 \times 3$ square, with three points on each side of the square. Two of these points are chosen at random. What is the probability that the two points are one unit apart?
A) $\frac{1}{33}$
B) $\frac{1}{16}$
C) $\frac{2}{33}$
D) $\frac{1}{32}$
E) $\frac{1}{8}$

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