There is a box which have 33 yellow marbles and 35 green marbles. You also have 34 green marbles outside the box.
Randomly remove two marbles from the box.
* If they are of different colors, put the yellow one back in the box.
* If they are the same color, take them out and put a green marble back in the box.
Repeat this until only one marble remains in the box.
What is the color of the sole marble left in the box ?
Solution:
The last marble will be yellow.
Since marbles can only be taken out in pairs and you started off with an odd number of yellows there is always going to be one yellow left over that you'll keep putting back in the box until it's left on it's own.