1. Three Points on a Hemisphere
Three points are selected at random on a sphere's surface. What is the probability that they all lie in the same hemisphere? Assume that the great circle, bordering a hemisphere, is part of the hemisphere.
2. I am a window, I am a lamp, I am clouded, I am shining, and I am colored; set in white, I fill with water and overflow. I say much, but I have no words. What am I?
Solution
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