1. Two numbers, x and y, are randomly chosen from the interval [0,1]. What is the expected value of (x+y)?
2. A line segment is broken at two random points along its length. What is the probability that the three new segments can be arranged to form a triangle?
3. Three points are selected randomly on the circumference of a circle. What is the probability that the triangle formed by these three points contains the center of the circle?