[math-fun] Probability puzzle

Suppose two points are chosen independently at random from [0,1], cutting it into three pieces. What's the best guess G, in closed form, for the size of the left-hand piece, if best is defined as minimizing the average distance between G and the actual size of the left-hand piece? --Dan ________________________________________________________________________________________ "Outside of a dog, a book is man's best friend. Inside of a dog, it's too dark to read." --Groucho Marx