
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 regular pentagon is divided into a smaller central pentagon and five identical triangular regions at each corner. If a dart is thrown at the board, and it is equally likely to land anywhere on the board, calculate the probability that the dart lands within the central pentagon.

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