The correct answer is 37/64.
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The correct answer is 37/64.
Congratulations to the voter who got it right!
Pick 2 points P, Q, uniformly at random in the interior of a sphere.
The line containing P and Q intersects the surface of the sphere at 2 other points, A, B.
What is the probability that the angle ∠ACB, where C is the centre of the sphere, is greater than 120°?