
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 dartboard is shaped as a regular hexagon subdivided into regions, with a smaller regular hexagon in the center formed by connecting the midpoints of each side. Suppose that a dart thrown at the board is equally likely to land anywhere on the board. What is the probability that the dart lands within the central hexagon?
A) $\frac{1}{2}$
B) $\frac{1}{3}$
C) $\frac{1}{4}$
D) $\frac{1}{8}$

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