There is a bag which have 21 blue balls and 23 red balls. You also have 22 red balls outside the bag.
Randomly remove two balls from the bag.
* If they are of different colors, put the blue one back in the bag.
* If they are the same color, take them out and put a red marble back in the bag.
Repeat this until only one marble remains in the bag.
What is the color of the sole marble left in the bag ?