
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 a regular hexagon with a smaller hexagon centered within it, each side of the outer hexagon is twice the length of each side of the inner hexagon. Suppose a dart thrown at the board is equally likely to land anywhere on the dart board. Calculate the probability that the dart lands within the inner hexagon.

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