
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
Suppose 1988 points are evenly distributed on a circle. Four distinct points, $P$, $Q$, $R$, and $S$, are to be selected from these 1988 points, with all quadruples being equally likely to be chosen. Compute the probability that the chord $\overline{PQ}$ intersects the chord $\overline{RS}$.

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