
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 dart board is shaped as a regular hexagon and divided into a center square and other regions around it. Suppose a dart thrown at the board is equally likely to land anywhere on the board. What is the ratio of the probability that the dart lands within the center square to the probability that the dart lands on the entire dart board?

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