
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
Six points are spaced around at intervals of one unit around a regular hexagon, as shown:
[asy] size((50)); dot(cos(pi/3), sin(pi/3)); dot(cos(2pi/3), sin(2pi/3)); dot(-1,0); dot(cos(4pi/3), sin(4pi/3)); dot(cos(5pi/3), sin(5pi/3)); dot(1,0); [/asy]
Two of the 6 points are chosen at random. What is the probability that the two points are adjacent (one unit apart)?
A) $\frac{1}{2}$
B) $\frac{1}{3}$
C) $\frac{2}{5}$
D) $\frac{4}{7}$
E) $\frac{1}{5}$

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