Marbles Marbles

There is a bag which has 21 blue marbles and 23 red marbles. You also have 22 red marbles outside the bag.

Randomly remove two marbles 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 ?



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