
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
In a regular decagon (10-sided polygon), 3 distinct segments are chosen at random from the segments whose endpoints are the vertices of the polygon. What is the probability that these three segment lengths can form a triangle with positive area?
**A)** $\frac{373}{495}$
**B)** $\frac{354}{475}$
**C)** $0.7$
**D)** $\frac{364}{485}$
**E)** $\frac{1}{2}$

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