Marble remains in the box


In the box you've 13 white marbles and 15 black marbles. You also have 28 black marbles outside the box. Remove two marbles, randomly, from the box. If they're of different colors, put the white one back in the box. If they're the same color, take them out and put a black marble back in the box. Continue this till only one marble remains in the box. What color is the last marble?

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Mathematics: Marble remains in the box
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