Science Bowl Question

📅 MIT Science Bowl 2024🎓 HS🔄 Round 2#️⃣ Question 21🌟 BONUS✍️ Short Answer

Brian and Luke randomly, independently, and uniformly select two points A and B on unit circle O. Expressed as a fraction in simplest form, what is the probability that the area of triangle ABO is greater than sqrt(3)/4 (read: the fraction with numerator square root of three and denominator four)?

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