3D or 2D?

Four points in a 3 3 dimensional system form a tetrahedron,so when 4 points are selected on the surface of a sphere,what is the probability that the center of the sphere is inside the tetrahedron formed by the 4 chosen points. If the probability is P P ,then what is 1000 P 1000P

The answer is 125.

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1 solution

Suhas Sheikh
Jun 19, 2018

Probability is 1/8 ( Extremely well known problem) So 1000* 1/8=125

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