2. Balls. In a box, there are 100 black and 100 white balls. What is the smallest number of balls that need to be taken out, without looking into the box, to ensure that among them there are 2 balls of the same color? To ensure there were 2 white balls?
2. Out of three balls, there will definitely be 2 of the same color. Therefore, three balls are sufficient. Note that two balls are not enough, as they can be of different colors. It may happen that we initially draw 100 black balls, and only then - 2 white ones. In total: 102 balls.