
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
Ten points are spaced around at intervals of one unit around a modified $2 \times 2$ square such that each vertex of the square and midpoints on each side of the square are included, along with two additional points, each located midway on a diagonal extension from opposite corners of the square. Two of the 10 points are chosen at random. What is the probability that the two points are one unit apart?
A) $\frac{1}{5}$
B) $\frac{14}{45}$
C) $\frac{5}{18}$
D) $\frac{1}{3}$
E) $\frac{2}{5}$

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