
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
Eight points are arranged evenly on the circumference of a circle. Five of the chords joining pairs of the eight points are selected at random. What is the probability that these five chords form a convex pentagon?
A) $\frac{1}{120}$
B) $\frac{1}{1820}$
C) $\frac{1}{1755}$
D) $\frac{1}{273}$
E) $\frac{1}{560}$

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