Worlds toughest question What is the probability of a Tetrahedral lying in a sphere ?
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1/2, considering two outcomes — tetrahedron lies insides the sphere, or it does not.
1/8 if take the centre of sphere to lie inside the tetrahedron.
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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 in- dependently chosen relative to a uniform distribution on the sphere.) the probability is 1/8.
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