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MathNet 2009-part-05 — 172 problems (EN–VI) Question 31

Math Olympiad Vault · MathNet 2009-part-05 — 172 problems (EN–VI)

Question 31

There are $2008$ distinct points on a circle. If you connect two of these points to form a line and then connect another two points (distinct from the first two) to form another line, what is the probability that the two lines intersect inside the circle?