
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
There are 1996 points uniformly distributed on the circumference of a circle. If four distinct points \( A \), \( B \), \( C \), and \( D \) are selected from these points, calculate the probability that the chords \( AB \) and \( CD \) intersect.

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