Here's a challenge for ya!
Four points are chosen at random on the surface of a sphere. What is the probability that the center of the sphere lies inside the tetrahedron whose vertices are at the four points? (It is understood that each point is independently chosen relative to a uniform distribution on the sphere.)
Hint: 🌐3d➡️🔵2d
Good luck, I'll explain the answer once I get some trys to get to a solution!
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