Logical Riddle: What Color is the Last Ball?
Think logically to solve this riddle.
A container contains 75 white balls and 150 black ones.
Next to the container is a large pile of black balls.
The coach asks one of the players to remove the balls from the container, one at a time, according to the following strange rule: He has to remove two balls from the container at random. If at least one of the balls is black, he places it on the ball-pile and drops the other ball, no matter what color, back in the container.
If both balls are white, on the other hand, he discards both of them and removes one black ball from the pile and drops it in the container.
At each turn of this procedure, the container has one less ball in it. Eventually, just one ball is left in the container. What color is it?
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Answer: The ball is white in color.
Explanation:
The cook only ever removes the white balls two at a time, and there are an odd number of them. When the cook gets to the last white ball, and picks it up along with a black ball, the white one always goes back into the container.