Coplanar?
Geometry
Level
2
Three points are chosen at random on the surface of a sphere. What is the probability that these three points are coplanar (meaning that you can create a plane that passes through all three of those points)?
The answer is 1.000.
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1 solution
ANY three points are always coplanar. You can draw one line between two of the points, and then create a plane that has both that line and the third point. This works because there are an infinite number of planes you can make from one line.