The Brain Teaser: Scroll Down for your Solution
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?
1. The probability is 1 (complete certainty). Any three points on a sphere must be on a hemisphere..
2. An eye.