Folklore

In a box, there are 2011 white and 2012 black balls. Two balls are randomly drawn. If they are of the same color, they are discarded and a black ball is placed back into the box. If they are of different colors, the black ball is discarded and the white ball is placed back into the box. The process continues until only one ball remains in the box. What color is it?
For any combination of balls drawn, the number of white balls either remains unchanged (if two black balls or balls of different colors are drawn) or decreases by 2 (if two white balls are drawn). Thus, the number of white balls remains odd. Since there is one ball left in the box, it can only be white.

## Answer

White.